56688000 has 128 divisors (see below), whose sum is σ = 188079840. Its totient is φ = 15104000.

The previous prime is 56687993. The next prime is 56688041. The reversal of 56688000 is 88665.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47410 + ... + 48590.

Almost surely, 2^56688000 is an apocalyptic number.

56688000 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 56688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94039920).

56688000 is an abundant number, since it is smaller than the sum of its proper divisors (131391840).

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

56688000 is a wasteful number, since it uses less digits than its factorization.

56688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 56688000 is about 7529.1433775696. The cubic root of 56688000 is about 384.1466453795.

The spelling of 56688000 in words is "fifty-six million, six hundred eighty-eight thousand".