56664800 has 72 divisors (see below), whose sum is σ = 139428576. Its totient is φ = 22487040.

The previous prime is 56664799. The next prime is 56664809. The reversal of 56664800 is 846665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56664809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154217 + ... + 154583.

It is an arithmetic number, because the mean of its divisors is an integer number (1936508).

Almost surely, 2^56664800 is an apocalyptic number.

56664800 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 56664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69714288).

56664800 is an abundant number, since it is smaller than the sum of its proper divisors (82763776).

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

56664800 is a wasteful number, since it uses less digits than its factorization.

56664800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 56664800 is about 7527.6025399858. The cubic root of 56664800 is about 384.0942332391.

The spelling of 56664800 in words is "fifty-six million, six hundred sixty-four thousand, eight hundred".