56657600 has 84 divisors (see below), whose sum is σ = 147684744. Its totient is φ = 21319680.

The previous prime is 56657567. The next prime is 56657609. The reversal of 56657600 is 675665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56657609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26159 + ... + 28241.

Almost surely, 2^56657600 is an apocalyptic number.

56657600 is a gapful number since it is divisible by the number (50) 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 56657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73842372).

56657600 is an abundant number, since it is smaller than the sum of its proper divisors (91027144).

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

56657600 is a wasteful number, since it uses less digits than its factorization.

56657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 56657600 is about 7527.1242848780. The cubic root of 56657600 is about 384.0779644937.

The spelling of 56657600 in words is "fifty-six million, six hundred fifty-seven thousand, six hundred".