625584960 has 1008 divisors, whose sum is σ = 3035515392. Its totient is φ = 116121600.

The previous prime is 625584959. The next prime is 625584979. The reversal of 625584960 is 69485526.

625584960 is a `hidden beast` number, since 6 + 2 + 5 + 584 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20180145 + ... + 20180175.

It is an arithmetic number, because the mean of its divisors is an integer number (3011424).

Almost surely, 2^625584960 is an apocalyptic number.

625584960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517757696).

625584960 is an abundant number, since it is smaller than the sum of its proper divisors (2409930432).

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

625584960 is a wasteful number, since it uses less digits than its factorization.

625584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 625584960 is about 25011.6964638547. The cubic root of 625584960 is about 855.2546281730.

It can be divided in two parts, 625 and 584960, that added together give a palindrome (585585).

The spelling of 625584960 in words is "six hundred twenty-five million, five hundred eighty-four thousand, nine hundred sixty".