87113712 has 160 divisors (see below), whose sum is σ = 276839424. Its totient is φ = 23040000.

The previous prime is 87113681. The next prime is 87113723. The reversal of 87113712 is 21731178.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 87113712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576837 + ... + 576987.

Almost surely, 2^87113712 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 87113712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138419712).

87113712 is an abundant number, since it is smaller than the sum of its proper divisors (189725712).

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

87113712 is a wasteful number, since it uses less digits than its factorization.

87113712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its digits is 2352, while the sum is 30.

The square root of 87113712 is about 9333.4726656267. The cubic root of 87113712 is about 443.2977291901.

The spelling of 87113712 in words is "eighty-seven million, one hundred thirteen thousand, seven hundred twelve".