56782560 has 48 divisors (see below), whose sum is σ = 178866576. Its totient is φ = 15141888.

The previous prime is 56782549. The next prime is 56782573. The reversal of 56782560 is 6528765.

It is a happy number.

56782560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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, 58669 + ... + 59628.

It is an arithmetic number, because the mean of its divisors is an integer number (3726387).

Almost surely, 2^56782560 is an apocalyptic number.

It is an amenable number.

56782560 is an abundant number, since it is smaller than the sum of its proper divisors (122084016).

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

56782560 is a wasteful number, since it uses less digits than its factorization.

56782560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118315 (or 118307 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 56782560 is about 7535.4203598738. The cubic root of 56782560 is about 384.3601222346.

The spelling of 56782560 in words is "fifty-six million, seven hundred eighty-two thousand, five hundred sixty".