656957952 has 400 divisors, whose sum is σ = 2344945152. Its totient is φ = 179159040.

The previous prime is 656957897. The next prime is 656957969. The reversal of 656957952 is 259759656.

It is a happy number.

656957952 is a `hidden beast` number, since 6 + 5 + 69 + 579 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8999388 + ... + 8999460.

Almost surely, 2^656957952 is an apocalyptic number.

656957952 is a gapful number since it is divisible by the number (62) 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 656957952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172472576).

656957952 is an abundant number, since it is smaller than the sum of its proper divisors (1687987200).

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

656957952 is an equidigital number, since it uses as much as digits as its factorization.

656957952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its digits is 5103000, while the sum is 54.

The square root of 656957952 is about 25631.1909984690. The cubic root of 656957952 is about 869.3190390798.

The spelling of 656957952 in words is "six hundred fifty-six million, nine hundred fifty-seven thousand, nine hundred fifty-two".