56188960 has 48 divisors (see below), whose sum is σ = 135850176. Its totient is φ = 21950208.

The previous prime is 56188949. The next prime is 56188967. The reversal of 56188960 is 6988165.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (56188967) 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, 2797 + ... + 10963.

It is an arithmetic number, because the mean of its divisors is an integer number (2830212).

Almost surely, 2^56188960 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 56188960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67925088).

56188960 is an abundant number, since it is smaller than the sum of its proper divisors (79661216).

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

56188960 is a wasteful number, since it uses less digits than its factorization.

56188960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8225 (or 8217 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 56188960 is about 7495.9295621024. The cubic root of 56188960 is about 383.0160718782.

The spelling of 56188960 in words is "fifty-six million, one hundred eighty-eight thousand, nine hundred sixty".