656902944 has 72 divisors (see below), whose sum is σ = 1881816300. Its totient is φ = 217356288.

The previous prime is 656902937. The next prime is 656902957. The reversal of 656902944 is 449209656.

It can be written as a sum of positive squares in 2 ways, for example, as 634435344 + 22467600 = 25188^2 + 4740^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 656902944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31132 + ... + 47780.

Almost surely, 2^656902944 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 656902944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940908150).

656902944 is an abundant number, since it is smaller than the sum of its proper divisors (1224913356).

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

656902944 is a wasteful number, since it uses less digits than its factorization.

656902944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16802 (or 16791 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 656902944 is about 25630.1179084295. The cubic root of 656902944 is about 869.2947753065.

The spelling of 656902944 in words is "six hundred fifty-six million, nine hundred two thousand, nine hundred forty-four".