56646720 has 336 divisors, whose sum is σ = 224668080. Its totient is φ = 12976128.

The previous prime is 56646701. The next prime is 56646721. The reversal of 56646720 is 2764665.

56646720 is a `hidden beast` number, since 5 + 6 + 646 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4460544 + 52186176 = 2112^2 + 7224^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56646721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636436 + ... + 636524.

It is an arithmetic number, because the mean of its divisors is an integer number (668655).

Almost surely, 2^56646720 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 56646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112334040).

56646720 is an abundant number, since it is smaller than the sum of its proper divisors (168021360).

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

56646720 is a wasteful number, since it uses less digits than its factorization.

56646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 56646720 is about 7526.4015306121. The cubic root of 56646720 is about 384.0533779965.

The spelling of 56646720 in words is "fifty-six million, six hundred forty-six thousand, seven hundred twenty".