56546880 has 224 divisors, whose sum is σ = 202777344. Its totient is φ = 13246464.

The previous prime is 56546873. The next prime is 56546923. The reversal of 56546880 is 8864565.

56546880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 286942 + ... + 287138.

It is an arithmetic number, because the mean of its divisors is an integer number (905256).

Almost surely, 2^56546880 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 56546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101388672).

56546880 is an abundant number, since it is smaller than the sum of its proper divisors (146230464).

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

56546880 is a wasteful number, since it uses less digits than its factorization.

56546880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 56546880 is about 7519.7659538047. The cubic root of 56546880 is about 383.8276135956.

The spelling of 56546880 in words is "fifty-six million, five hundred forty-six thousand, eight hundred eighty".