56365632 has 140 divisors (see below), whose sum is σ = 170389296. Its totient is φ = 18420480.

The previous prime is 56365619. The next prime is 56365637. The reversal of 56365632 is 23656365.

56365632 is a `hidden beast` number, since 563 + 65 + 6 + 32 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (56365637) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 430207 + ... + 430337.

Almost surely, 2^56365632 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 56365632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85194648).

56365632 is an abundant number, since it is smaller than the sum of its proper divisors (114023664).

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

56365632 is a wasteful number, since it uses less digits than its factorization.

56365632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 56365632 is about 7507.7048423603. The cubic root of 56365632 is about 383.4170843262.

The spelling of 56365632 in words is "fifty-six million, three hundred sixty-five thousand, six hundred thirty-two".