656644032 has 168 divisors, whose sum is σ = 2109502512. Its totient is φ = 193536000.

The previous prime is 656643991. The next prime is 656644063. The reversal of 656644032 is 230446656.

656644032 is a `hidden beast` number, since 6 + 5 + 6 + 644 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×656644032² = 862362769522434048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233032 + ... + 235832.

Almost surely, 2^656644032 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 656644032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054751256).

656644032 is an abundant number, since it is smaller than the sum of its proper divisors (1452858480).

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

656644032 is a wasteful number, since it uses less digits than its factorization.

656644032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 656644032 is about 25625.0664779625. The cubic root of 656644032 is about 869.1805522302.

It can be divided in two parts, 65664 and 4032, that added together give a palindrome (69696).

The spelling of 656644032 in words is "six hundred fifty-six million, six hundred forty-four thousand, thirty-two".