56353824 has 72 divisors (see below), whose sum is σ = 160982640. Its totient is φ = 18699648.

The previous prime is 56353823. The next prime is 56353853. The reversal of 56353824 is 42835365.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 not an unprimeable number, because it can be changed into a prime (56353823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120439 + ... + 120905.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2^56353824 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 56353824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80491320).

56353824 is an abundant number, since it is smaller than the sum of its proper divisors (104628816).

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

56353824 is a wasteful number, since it uses less digits than its factorization.

56353824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 891 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 56353824 is about 7506.9184090411. The cubic root of 56353824 is about 383.3903085235.

The spelling of 56353824 in words is "fifty-six million, three hundred fifty-three thousand, eight hundred twenty-four".