56824720 has 80 divisors (see below), whose sum is σ = 139812480. Its totient is φ = 21435392.

The previous prime is 56824709. The next prime is 56824741. The reversal of 56824720 is 2742865.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163587 + ... + 163933.

It is an arithmetic number, because the mean of its divisors is an integer number (1747656).

Almost surely, 2^56824720 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 56824720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69906240).

56824720 is an abundant number, since it is smaller than the sum of its proper divisors (82987760).

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

56824720 is a wasteful number, since it uses less digits than its factorization.

56824720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 56824720 is about 7538.2172958863. The cubic root of 56824720 is about 384.4552254604.

Adding to 56824720 its product of nonzero digits (26880), we get a square (56851600 = 7540²).

The spelling of 56824720 in words is "fifty-six million, eight hundred twenty-four thousand, seven hundred twenty".