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664608 = 25372343
BaseRepresentation
bin10100010010000100000
31020202200010
42202100200
5132231413
622124520
75435430
oct2422040
91222603
10664608
1141436a
12280740
131a3679
141342c0
15d1dc3
hexa2420

664608 has 96 divisors (see below), whose sum is σ = 2128896. Its totient is φ = 177408.

The previous prime is 664603. The next prime is 664613. The reversal of 664608 is 806466.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (664603) and next prime (664613).

It is a tau number, because it is divible by the number of its divisors (96).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 664608.

It is not an unprimeable number, because it can be changed into a prime (664603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15435 + ... + 15477.

It is an arithmetic number, because the mean of its divisors is an integer number (22176).

2664608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064448).

664608 is an abundant number, since it is smaller than the sum of its proper divisors (1464288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

664608 is a wasteful number, since it uses less digits than its factorization.

664608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 664608 is about 815.2349354634. The cubic root of 664608 is about 87.2680332071.

The spelling of 664608 in words is "six hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 43 46 48 56 69 84 86 92 96 112 129 138 161 168 172 184 224 258 276 301 322 336 344 368 483 516 552 602 644 672 688 736 903 966 989 1032 1104 1204 1288 1376 1806 1932 1978 2064 2208 2408 2576 2967 3612 3864 3956 4128 4816 5152 5934 6923 7224 7728 7912 9632 11868 13846 14448 15456 15824 20769 23736 27692 28896 31648 41538 47472 55384 83076 94944 110768 166152 221536 332304 664608