87566112 has 36 divisors (see below), whose sum is σ = 249016950. Its totient is φ = 29188608.

The previous prime is 87566107. The next prime is 87566137. The reversal of 87566112 is 21166578.

87566112 is a `hidden beast` number, since 87 + 566 + 1 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65999376 + 21566736 = 8124^2 + 4644^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 151737 + ... + 152312.

Almost surely, 2^87566112 is an apocalyptic number.

It is an amenable number.

87566112 is an abundant number, since it is smaller than the sum of its proper divisors (161450838).

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

87566112 is a wasteful number, since it uses less digits than its factorization.

87566112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304065 (or 304054 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 87566112 is about 9357.6766347208. The cubic root of 87566112 is about 444.0637843597.

It can be divided in two parts, 87566 and 112, that added together give a palindrome (87678).

The spelling of 87566112 in words is "eighty-seven million, five hundred sixty-six thousand, one hundred twelve".