56365344 has 144 divisors (see below), whose sum is σ = 186181632. Its totient is φ = 15842304.

The previous prime is 56365333. The next prime is 56365369. The reversal of 56365344 is 44356365.

56365344 is a `hidden beast` number, since 563 + 6 + 53 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 56365299 and 56365308.

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, 146977 + ... + 147359.

It is an arithmetic number, because the mean of its divisors is an integer number (1292928).

Almost surely, 2^56365344 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 56365344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93090816).

56365344 is an abundant number, since it is smaller than the sum of its proper divisors (129816288).

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

56365344 is a wasteful number, since it uses less digits than its factorization.

56365344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 468 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 56365344 is about 7507.6856620399. The cubic root of 56365344 is about 383.4164313023.

The spelling of 56365344 in words is "fifty-six million, three hundred sixty-five thousand, three hundred forty-four".