56006560 has 48 divisors (see below), whose sum is σ = 133056000. Its totient is φ = 22277376.

The previous prime is 56006557. The next prime is 56006579. The reversal of 56006560 is 6560065.

56006560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 30961 + ... + 32719.

It is an arithmetic number, because the mean of its divisors is an integer number (2772000).

Almost surely, 2^56006560 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 56006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528000).

56006560 is an abundant number, since it is smaller than the sum of its proper divisors (77049440).

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

56006560 is a wasteful number, since it uses less digits than its factorization.

56006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 56006560 is about 7483.7530691492. The cubic root of 56006560 is about 382.6011750528.

The spelling of 56006560 in words is "fifty-six million, six thousand, five hundred sixty".