56526768 has 160 divisors (see below), whose sum is σ = 176774400. Its totient is φ = 17224704.

The previous prime is 56526763. The next prime is 56526797. The reversal of 56526768 is 86762565.

56526768 is a `hidden beast` number, since 56 + 526 + 76 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (56526763) 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, 315703 + ... + 315881.

It is an arithmetic number, because the mean of its divisors is an integer number (1104840).

Almost surely, 2^56526768 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 56526768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

56526768 is an abundant number, since it is smaller than the sum of its proper divisors (120247632).

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

56526768 is a wasteful number, since it uses less digits than its factorization.

56526768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 56526768 is about 7518.4285592137. The cubic root of 56526768 is about 383.7821029423.

The spelling of 56526768 in words is "fifty-six million, five hundred twenty-six thousand, seven hundred sixty-eight".