56685680 has 40 divisors (see below), whose sum is σ = 133397712. Its totient is φ = 22398464.

The previous prime is 56685679. The next prime is 56685703. The reversal of 56685680 is 8658665.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×56685680³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2372 + ... + 10908.

Almost surely, 2^56685680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56685680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66698856).

56685680 is an abundant number, since it is smaller than the sum of its proper divisors (76712032).

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

56685680 is a wasteful number, since it uses less digits than its factorization.

56685680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8633 (or 8627 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The square root of 56685680 is about 7528.9893080014. The cubic root of 56685680 is about 384.1414048090.

The spelling of 56685680 in words is "fifty-six million, six hundred eighty-five thousand, six hundred eighty".