56581680 has 80 divisors (see below), whose sum is σ = 176131584. Its totient is φ = 15025920.

The previous prime is 56581673. The next prime is 56581691. The reversal of 56581680 is 8618565.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103167 + ... + 103713.

Almost surely, 2^56581680 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 56581680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88065792).

56581680 is an abundant number, since it is smaller than the sum of its proper divisors (119549904).

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

56581680 is a wasteful number, since it uses less digits than its factorization.

56581680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 56581680 is about 7522.0794997128. The cubic root of 56581680 is about 383.9063356624.

The spelling of 56581680 in words is "fifty-six million, five hundred eighty-one thousand, six hundred eighty".