56695680 has 256 divisors, whose sum is σ = 213710400. Its totient is φ = 14155776.

The previous prime is 56695651. The next prime is 56695687. The reversal of 56695680 is 8659665.

56695680 is a `hidden beast` number, since 566 + 9 + 5 + 6 + 80 = 666.

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 (56695687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293664 + ... + 293856.

Almost surely, 2^56695680 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 56695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106855200).

56695680 is an abundant number, since it is smaller than the sum of its proper divisors (157014720).

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

56695680 is a wasteful number, since it uses less digits than its factorization.

56695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 56695680 is about 7529.6533784763. The cubic root of 56695680 is about 384.1639924548.

It can be divided in two parts, 56695 and 680, that added together give a palindrome (57375).

The spelling of 56695680 in words is "fifty-six million, six hundred ninety-five thousand, six hundred eighty".