56660900 has 36 divisors (see below), whose sum is σ = 123281172. Its totient is φ = 22604160.

The previous prime is 56660873. The next prime is 56660927. The reversal of 56660900 is 906665.

It is an interprime number because it is at equal distance from previous prime (56660873) and next prime (56660927).

It can be written as a sum of positive squares in 6 ways, for example, as 440896 + 56220004 = 664^2 + 7498^2 .

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 11 ways as a sum of consecutive naturals, for example, 72914 + ... + 73686.

It is an arithmetic number, because the mean of its divisors is an integer number (3424477).

Almost surely, 2^56660900 is an apocalyptic number.

56660900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56660900 is an abundant number, since it is smaller than the sum of its proper divisors (66620272).

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

56660900 is a wasteful number, since it uses less digits than its factorization.

56660900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 56660900 is about 7527.3434889076. The cubic root of 56660900 is about 384.0854211731.

The spelling of 56660900 in words is "fifty-six million, six hundred sixty thousand, nine hundred".