656252688 has 240 divisors, whose sum is σ = 2153195520. Its totient is φ = 171714816.

The previous prime is 656252677. The next prime is 656252743. The reversal of 656252688 is 886252656.

656252688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5167281 + ... + 5167407.

It is an arithmetic number, because the mean of its divisors is an integer number (8971648).

Almost surely, 2^656252688 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 656252688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076597760).

656252688 is an abundant number, since it is smaller than the sum of its proper divisors (1496942832).

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

656252688 is a wasteful number, since it uses less digits than its factorization.

656252688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 152 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 656252688 is about 25617.4293792332. The cubic root of 656252688 is about 869.0078477038.

The spelling of 656252688 in words is "six hundred fifty-six million, two hundred fifty-two thousand, six hundred eighty-eight".