56700900 has 81 divisors (see below), whose sum is σ = 178436713. Its totient is φ = 15060000.

The previous prime is 56700893. The next prime is 56700913. The reversal of 56700900 is 900765.

The square root of 56700900 is 7530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20412324 + 36288576 = 4518^2 + 6024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 225775 + ... + 226025.

Almost surely, 2^56700900 is an apocalyptic number.

56700900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56700900 is the 7530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56700900

56700900 is an abundant number, since it is smaller than the sum of its proper divisors (121735813).

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

56700900 is a wasteful number, since it uses less digits than its factorization.

56700900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The cubic root of 56700900 is about 384.1757821508.

It can be divided in two parts, 56700 and 900, that added together give a square (57600 = 240²).

The spelling of 56700900 in words is "fifty-six million, seven hundred thousand, nine hundred".