56168960 has 80 divisors (see below), whose sum is σ = 138546936. Its totient is φ = 21823488.

The previous prime is 56168953. The next prime is 56168963. The reversal of 56168960 is 6986165.

It can be written as a sum of positive squares in 4 ways, for example, as 54405376 + 1763584 = 7376^2 + 1328^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (56168963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94424 + ... + 95016.

Almost surely, 2^56168960 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 56168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69273468).

56168960 is an abundant number, since it is smaller than the sum of its proper divisors (82377976).

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

56168960 is an equidigital number, since it uses as much as digits as its factorization.

56168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 56168960 is about 7494.5953860098. The cubic root of 56168960 is about 382.9706226743.

The spelling of 56168960 in words is "fifty-six million, one hundred sixty-eight thousand, nine hundred sixty".