87616512 has 88 divisors (see below), whose sum is σ = 259559600. Its totient is φ = 29196288.

The previous prime is 87616493. The next prime is 87616523. The reversal of 87616512 is 21561678.

87616512 is a `hidden beast` number, since 87 + 61 + 6 + 512 = 666.

It is a super-2 number, since 2×87616512² = 15353306350092288, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 26064 + ... + 29232.

Almost surely, 2^87616512 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 87616512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129779800).

87616512 is an abundant number, since it is smaller than the sum of its proper divisors (171943088).

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

87616512 is a wasteful number, since it uses less digits than its factorization.

87616512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198 (or 3174 counting only the distinct ones).

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

The square root of 87616512 is about 9360.3692234869. The cubic root of 87616512 is about 444.1489638951.

The spelling of 87616512 in words is "eighty-seven million, six hundred sixteen thousand, five hundred twelve".