56577690 has 128 divisors (see below), whose sum is σ = 165312000. Its totient is φ = 13856832.

The previous prime is 56577679. The next prime is 56577691. The reversal of 56577690 is 9677565.

It is a happy number.

It is a super-2 number, since 2×56577690² = 6402070011472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56577691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284211 + ... + 284409.

It is an arithmetic number, because the mean of its divisors is an integer number (1291500).

Almost surely, 2^56577690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56577690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82656000).

56577690 is an abundant number, since it is smaller than the sum of its proper divisors (108734310).

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

56577690 is a wasteful number, since it uses less digits than its factorization.

56577690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 56577690 is about 7521.8142758247. The cubic root of 56577690 is about 383.8973114088.

The spelling of 56577690 in words is "fifty-six million, five hundred seventy-seven thousand, six hundred ninety".