56440160 has 144 divisors (see below), whose sum is σ = 162370656. Its totient is φ = 18450432.

The previous prime is 56440159. The next prime is 56440193. The reversal of 56440160 is 6104465.

It is a happy number.

56440160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180164 + ... + 180476.

It is an arithmetic number, because the mean of its divisors is an integer number (1127574).

Almost surely, 2^56440160 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 56440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81185328).

56440160 is an abundant number, since it is smaller than the sum of its proper divisors (105930496).

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

56440160 is a wasteful number, since it uses less digits than its factorization.

56440160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 56440160 is about 7512.6666370870. Note that the first 4 decimals coincide. The cubic root of 56440160 is about 383.5859976774.

The spelling of 56440160 in words is "fifty-six million, four hundred forty thousand, one hundred sixty".