56585760 has 192 divisors, whose sum is σ = 222372864. Its totient is φ = 11750400.

The previous prime is 56585747. The next prime is 56585761. The reversal of 56585760 is 6758565.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56585761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36195 + ... + 37725.

It is an arithmetic number, because the mean of its divisors is an integer number (1158192).

Almost surely, 2^56585760 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 56585760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111186432).

56585760 is an abundant number, since it is smaller than the sum of its proper divisors (165787104).

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

56585760 is a wasteful number, since it uses less digits than its factorization.

56585760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 56585760 is about 7522.3506964246. The cubic root of 56585760 is about 383.9155630319.

The spelling of 56585760 in words is "fifty-six million, five hundred eighty-five thousand, seven hundred sixty".