57656900 has 72 divisors (see below), whose sum is σ = 147657216. Its totient is φ = 19123200.

The previous prime is 57656881. The next prime is 57656903. The reversal of 57656900 is 965675.

It is a super-2 number, since 2×57656900² = 6648636235220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (57656903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20372 + ... + 23028.

Almost surely, 2^57656900 is an apocalyptic number.

57656900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57656900 is the 6200-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57656900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73828608).

57656900 is an abundant number, since it is smaller than the sum of its proper divisors (90000316).

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

57656900 is a wasteful number, since it uses less digits than its factorization.

57656900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 38.

The square root of 57656900 is about 7593.2140757389. The cubic root of 57656900 is about 386.3228794588.

The spelling of 57656900 in words is "fifty-seven million, six hundred fifty-six thousand, nine hundred".