56987712 has 70 divisors (see below), whose sum is σ = 168944798. Its totient is φ = 18994176.

The previous prime is 56987701. The next prime is 56987713. The reversal of 56987712 is 21778965.

56987712 is a `hidden beast` number, since 569 + 8 + 77 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40144896 + 16842816 = 6336^2 + 4104^2 .

It is not an unprimeable number, because it can be changed into a prime (56987713) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 313 + ... + 10680.

Almost surely, 2^56987712 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 56987712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84472399).

56987712 is an abundant number, since it is smaller than the sum of its proper divisors (111957086).

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

56987712 is a wasteful number, since it uses less digits than its factorization.

56987712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11017 (or 10998 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 56987712 is about 7549.0205987267. The cubic root of 56987712 is about 384.8224559461.

The spelling of 56987712 in words is "fifty-six million, nine hundred eighty-seven thousand, seven hundred twelve".