56906577 has 128 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 26687232.

The previous prime is 56906569. The next prime is 56906593. The reversal of 56906577 is 77560965.

It is a happy number.

It is not a de Polignac number, because 56906577 - 2³ = 56906569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56906557) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1073683 + ... + 1073735.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^56906577 is an apocalyptic number.

56906577 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

56906577 is an abundant number, since it is smaller than the sum of its proper divisors (59215023).

56906577 is a wasteful number, since it uses less digits than its factorization.

56906577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

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

The square root of 56906577 is about 7543.6448087115. The cubic root of 56906577 is about 384.6397417077.

The spelling of 56906577 in words is "fifty-six million, nine hundred six thousand, five hundred seventy-seven".