56664200 has 48 divisors (see below), whose sum is σ = 132312960. Its totient is φ = 22568000.

The previous prime is 56664169. The next prime is 56664211. The reversal of 56664200 is 246665.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61745 + ... + 62655.

It is an arithmetic number, because the mean of its divisors is an integer number (2756520).

Almost surely, 2^56664200 is an apocalyptic number.

56664200 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 56664200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66156480).

56664200 is an abundant number, since it is smaller than the sum of its proper divisors (75648760).

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

56664200 is a wasteful number, since it uses less digits than its factorization.

56664200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 56664200 is about 7527.5626865540. The cubic root of 56664200 is about 384.0928775630.

The spelling of 56664200 in words is "fifty-six million, six hundred sixty-four thousand, two hundred".