56577820 has 72 divisors (see below), whose sum is σ = 135581040. Its totient is φ = 19768320.

The previous prime is 56577817. The next prime is 56577823. The reversal of 56577820 is 2877565.

It is an interprime number because it is at equal distance from previous prime (56577817) and next prime (56577823).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56577823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63780 + ... + 64660.

It is an arithmetic number, because the mean of its divisors is an integer number (1883070).

Almost surely, 2^56577820 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 56577820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67790520).

56577820 is an abundant number, since it is smaller than the sum of its proper divisors (79003220).

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

56577820 is a wasteful number, since it uses less digits than its factorization.

56577820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 56577820 is about 7521.8229173519. The cubic root of 56577820 is about 383.8976054388.

The spelling of 56577820 in words is "fifty-six million, five hundred seventy-seven thousand, eight hundred twenty".