56546624 has 28 divisors (see below), whose sum is σ = 118812564. Its totient is φ = 26609664.

The previous prime is 56546621. The next prime is 56546629. The reversal of 56546624 is 42664565.

56546624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 29506624 + 27040000 = 5432^2 + 5200^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56546621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24899 + ... + 27074.

Almost surely, 2^56546624 is an apocalyptic number.

It is an amenable number.

56546624 is an abundant number, since it is smaller than the sum of its proper divisors (62265940).

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

56546624 is a wasteful number, since it uses less digits than its factorization.

56546624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52002 (or 51992 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The square root of 56546624 is about 7519.7489319790. The cubic root of 56546624 is about 383.8270343711.

The spelling of 56546624 in words is "fifty-six million, five hundred forty-six thousand, six hundred twenty-four".