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640764 = 223317349
BaseRepresentation
bin10011100011011111100
31012112222000
42130123330
5131001024
621422300
75306055
oct2343374
91175860
10640764
113a8463
1226a990
13195867
1412972c
15c9cc9
hex9c6fc

640764 has 48 divisors (see below), whose sum is σ = 1764000. Its totient is φ = 200448.

The previous prime is 640741. The next prime is 640771. The reversal of 640764 is 467046.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

640764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1662 + ... + 2010.

It is an arithmetic number, because the mean of its divisors is an integer number (36750).

2640764 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 640764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882000).

640764 is an abundant number, since it is smaller than the sum of its proper divisors (1123236).

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

640764 is a wasteful number, since it uses less digits than its factorization.

640764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 640764 is about 800.4773575811. The cubic root of 640764 is about 86.2116653840.

640764 divided by its sum of digits (27) gives a palindrome (23732).

The spelling of 640764 in words is "six hundred forty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 349 459 612 698 918 1047 1396 1836 2094 3141 4188 5933 6282 9423 11866 12564 17799 18846 23732 35598 37692 53397 71196 106794 160191 213588 320382 640764