56787264 has 112 divisors (see below), whose sum is σ = 170078400. Its totient is φ = 18574848.

The previous prime is 56787239. The next prime is 56787271. The reversal of 56787264 is 46278765.

56787264 is a `hidden beast` number, since 567 + 87 + 2 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101674 + ... + 102230.

Almost surely, 2^56787264 is an apocalyptic number.

56787264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56787264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85039200).

56787264 is an abundant number, since it is smaller than the sum of its proper divisors (113291136).

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

56787264 is a wasteful number, since it uses less digits than its factorization.

56787264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 621 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 56787264 is about 7535.7324793281. The cubic root of 56787264 is about 384.3707357052.

The spelling of 56787264 in words is "fifty-six million, seven hundred eighty-seven thousand, two hundred sixty-four".