56546900 has 18 divisors (see below), whose sum is σ = 122706990. Its totient is φ = 22618720.

The previous prime is 56546873. The next prime is 56546923. The reversal of 56546900 is 964565.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 56644 + 56490256 = 238^2 + 7516^2 .

It is a super-2 number, since 2×56546900² = 6395103799220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 282635 + ... + 282834.

It is an arithmetic number, because the mean of its divisors is an integer number (6817055).

Almost surely, 2^56546900 is an apocalyptic number.

56546900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56546900 is an abundant number, since it is smaller than the sum of its proper divisors (66160090).

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

56546900 is a wasteful number, since it uses less digits than its factorization.

56546900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565483 (or 565476 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 56546900 is about 7519.7672836332. The cubic root of 56546900 is about 383.8276588474.

The spelling of 56546900 in words is "fifty-six million, five hundred forty-six thousand, nine hundred".