56318640 has 120 divisors (see below), whose sum is σ = 203134320. Its totient is φ = 12870144.

The previous prime is 56318611. The next prime is 56318653. The reversal of 56318640 is 4681365.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×56318640² = 6343578422899200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9366 + ... + 14154.

It is an arithmetic number, because the mean of its divisors is an integer number (1692786).

Almost surely, 2^56318640 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 56318640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101567160).

56318640 is an abundant number, since it is smaller than the sum of its proper divisors (146815680).

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

56318640 is a wasteful number, since it uses less digits than its factorization.

56318640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 56318640 is about 7504.5746048660. The cubic root of 56318640 is about 383.3105031562.

The spelling of 56318640 in words is "fifty-six million, three hundred eighteen thousand, six hundred forty".