56958160 has 160 divisors (see below), whose sum is σ = 166275072. Its totient is φ = 17694720.

The previous prime is 56958157. The next prime is 56958163. The reversal of 56958160 is 6185965.

It is an interprime number because it is at equal distance from previous prime (56958157) and next prime (56958163).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56958163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295024 + ... + 295216.

Almost surely, 2^56958160 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 56958160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83137536).

56958160 is an abundant number, since it is smaller than the sum of its proper divisors (109316912).

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

56958160 is a wasteful number, since it uses less digits than its factorization.

56958160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 56958160 is about 7547.0630049046. The cubic root of 56958160 is about 384.7559255827.

The spelling of 56958160 in words is "fifty-six million, nine hundred fifty-eight thousand, one hundred sixty".