656610624 has 140 divisors (see below), whose sum is σ = 2031394464. Its totient is φ = 209316096.

The previous prime is 656610599. The next prime is 656610673. The reversal of 656610624 is 426016656.

It is a happy number.

It is a super-2 number, since 2×656610624² = 862275023099338752, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 116479 + ... + 121985.

Almost surely, 2^656610624 is an apocalyptic number.

656610624 is a gapful number since it is divisible by the number (64) 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 656610624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015697232).

656610624 is an abundant number, since it is smaller than the sum of its proper divisors (1374783840).

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

656610624 is a wasteful number, since it uses less digits than its factorization.

656610624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 656610624 is about 25624.4146079476. The cubic root of 656610624 is about 869.1658115819.

The spelling of 656610624 in words is "six hundred fifty-six million, six hundred ten thousand, six hundred twenty-four".