56640600 has 192 divisors, whose sum is σ = 206906400. Its totient is φ = 14192640.

The previous prime is 56640581. The next prime is 56640607. The reversal of 56640600 is 604665.

56640600 is a `hidden beast` number, since 56 + 6 + 4 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56640607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91492 + ... + 92108.

Almost surely, 2^56640600 is an apocalyptic number.

56640600 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 56640600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103453200).

56640600 is an abundant number, since it is smaller than the sum of its proper divisors (150265800).

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

56640600 is a wasteful number, since it uses less digits than its factorization.

56640600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 644 counting only the distinct ones).

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

The square root of 56640600 is about 7525.9949508354. The cubic root of 56640600 is about 384.0395467083.

The spelling of 56640600 in words is "fifty-six million, six hundred forty thousand, six hundred".