56880144 has 50 divisors (see below), whose sum is σ = 164631390. Its totient is φ = 18959616.

The previous prime is 56880101. The next prime is 56880157. The reversal of 56880144 is 44108865.

56880144 is a `hidden beast` number, since 568 + 80 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56070144 + 810000 = 7488^2 + 900^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56880099 and 56880108.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20649 + ... + 23240.

Almost surely, 2^56880144 is an apocalyptic number.

56880144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56880144 is an abundant number, since it is smaller than the sum of its proper divisors (107751246).

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

56880144 is a wasteful number, since it uses less digits than its factorization.

56880144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43909 (or 43894 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 56880144 is about 7541.8926006673. The cubic root of 56880144 is about 384.5801776676.

The spelling of 56880144 in words is "fifty-six million, eight hundred eighty thousand, one hundred forty-four".