56407032 has 96 divisors (see below), whose sum is σ = 169303680. Its totient is φ = 16822080.

The previous prime is 56407019. The next prime is 56407061. The reversal of 56407032 is 23070465.

It is a happy number.

56407032 is a `hidden beast` number, since 564 + 0 + 70 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56406987 and 56407005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52533 + ... + 53595.

It is an arithmetic number, because the mean of its divisors is an integer number (1763580).

Almost surely, 2^56407032 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 56407032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84651840).

56407032 is an abundant number, since it is smaller than the sum of its proper divisors (112896648).

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

56407032 is a wasteful number, since it uses less digits than its factorization.

56407032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 56407032 is about 7510.4615037959. The cubic root of 56407032 is about 383.5109333734.

Adding to 56407032 its reverse (23070465), we get a palindrome (79477497).

The spelling of 56407032 in words is "fifty-six million, four hundred seven thousand, thirty-two".