56577360 has 240 divisors, whose sum is σ = 216789696. Its totient is φ = 12128256.

The previous prime is 56577359. The next prime is 56577361. The reversal of 56577360 is 6377565.

It is an interprime number because it is at equal distance from previous prime (56577359) and next prime (56577361).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56577361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199779 + ... + 200061.

Almost surely, 2^56577360 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 56577360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108394848).

56577360 is an abundant number, since it is smaller than the sum of its proper divisors (160212336).

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

56577360 is a wasteful number, since it uses less digits than its factorization.

56577360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 39.

The square root of 56577360 is about 7521.7923395957. The cubic root of 56577360 is about 383.8965650230.

The spelling of 56577360 in words is "fifty-six million, five hundred seventy-seven thousand, three hundred sixty".