656508960 has 288 divisors, whose sum is σ = 2358720000. Its totient is φ = 166053888.

The previous prime is 656508943. The next prime is 656508967. The reversal of 656508960 is 69805656.

656508960 is a `hidden beast` number, since 6 + 56 + 508 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (656508967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3298941 + ... + 3299139.

It is an arithmetic number, because the mean of its divisors is an integer number (8190000).

Almost surely, 2^656508960 is an apocalyptic number.

656508960 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 656508960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360000).

656508960 is an abundant number, since it is smaller than the sum of its proper divisors (1702211040).

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

656508960 is a wasteful number, since it uses less digits than its factorization.

656508960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 656508960 is about 25622.4307980332. The cubic root of 656508960 is about 869.1209511879.

The spelling of 656508960 in words is "six hundred fifty-six million, five hundred eight thousand, nine hundred sixty".