56604600 has 288 divisors, whose sum is σ = 213267600. Its totient is φ = 13363200.

The previous prime is 56604599. The next prime is 56604617. The reversal of 56604600 is 640665.

56604600 is a `hidden beast` number, since 56 + 6 + 0 + 4 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 959371 + ... + 959429.

Almost surely, 2^56604600 is an apocalyptic number.

56604600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56604600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106633800).

56604600 is an abundant number, since it is smaller than the sum of its proper divisors (156663000).

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

56604600 is a wasteful number, since it uses less digits than its factorization.

56604600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

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

The square root of 56604600 is about 7523.6028603323. The cubic root of 56604600 is about 383.9581660156.

The spelling of 56604600 in words is "fifty-six million, six hundred four thousand, six hundred".