56406600 has 72 divisors (see below), whose sum is σ = 189438210. Its totient is φ = 15041280.

The previous prime is 56406569. The next prime is 56406607. The reversal of 56406600 is 660465.

56406600 is a `hidden beast` number, since 56 + 4 + 0 + 6 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 52969284 + 3437316 = 7278^2 + 1854^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) 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 (56406607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13869 + ... + 17468.

Almost surely, 2^56406600 is an apocalyptic number.

56406600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56406600 is an abundant number, since it is smaller than the sum of its proper divisors (133031610).

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

56406600 is a wasteful number, since it uses less digits than its factorization.

56406600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31359 (or 31347 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56406600 is about 7510.4327438570. The cubic root of 56406600 is about 383.5099543161.

The spelling of 56406600 in words is "fifty-six million, four hundred six thousand, six hundred".