87512616 has 64 divisors (see below), whose sum is σ = 243960000. Its totient is φ = 29066688.

The previous prime is 87512599. The next prime is 87512629. The reversal of 87512616 is 61621578.

87512616 is a `hidden beast` number, since 87 + 512 + 61 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81330 + ... + 82398.

It is an arithmetic number, because the mean of its divisors is an integer number (3811875).

Almost surely, 2^87512616 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 87512616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121980000).

87512616 is an abundant number, since it is smaller than the sum of its proper divisors (156447384).

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

87512616 is a wasteful number, since it uses less digits than its factorization.

87512616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1453 counting only the distinct ones).

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

The square root of 87512616 is about 9354.8177961946. The cubic root of 87512616 is about 443.9733366019.

The spelling of 87512616 in words is "eighty-seven million, five hundred twelve thousand, six hundred sixteen".