56592144 has 120 divisors (see below), whose sum is σ = 188952192. Its totient is φ = 15459840.

The previous prime is 56592113. The next prime is 56592157. The reversal of 56592144 is 44129565.

56592144 is a `hidden beast` number, since 56 + 592 + 14 + 4 = 666.

56592144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 56592099 and 56592108.

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, 21964 + ... + 24404.

Almost surely, 2^56592144 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 56592144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94476096).

56592144 is an abundant number, since it is smaller than the sum of its proper divisors (132360048).

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

56592144 is a wasteful number, since it uses less digits than its factorization.

56592144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2476 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 56592144 is about 7522.7750198979. The cubic root of 56592144 is about 383.9300002613.

The spelling of 56592144 in words is "fifty-six million, five hundred ninety-two thousand, one hundred forty-four".