56968160 has 48 divisors (see below), whose sum is σ = 138239136. Its totient is φ = 22169088.

The previous prime is 56968133. The next prime is 56968169. The reversal of 56968160 is 6186965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56968169) 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, 1109 + ... + 10731.

It is an arithmetic number, because the mean of its divisors is an integer number (2879982).

Almost surely, 2^56968160 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 56968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69119568).

56968160 is an abundant number, since it is smaller than the sum of its proper divisors (81270976).

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

56968160 is a wasteful number, since it uses less digits than its factorization.

56968160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9675 (or 9667 counting only the distinct ones).

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

The square root of 56968160 is about 7547.7254852041. The cubic root of 56968160 is about 384.7784411398.

The spelling of 56968160 in words is "fifty-six million, nine hundred sixty-eight thousand, one hundred sixty".