56577136 has 80 divisors (see below), whose sum is σ = 143919360. Its totient is φ = 20874240.

The previous prime is 56577097. The next prime is 56577223. The reversal of 56577136 is 63177565.

It is a happy number.

It is a congruent number.

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, 22200 + ... + 24616.

It is an arithmetic number, because the mean of its divisors is an integer number (1798992).

Almost surely, 2^56577136 is an apocalyptic number.

56577136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56577136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71959680).

56577136 is an abundant number, since it is smaller than the sum of its proper divisors (87342224).

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

56577136 is a wasteful number, since it uses less digits than its factorization.

56577136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2456 counting only the distinct ones).

The product of its digits is 132300, while the sum is 40.

The square root of 56577136 is about 7521.7774495128. Note that the first 3 decimals coincide. The cubic root of 56577136 is about 383.8960583837.

The spelling of 56577136 in words is "fifty-six million, five hundred seventy-seven thousand, one hundred thirty-six".