87631214616 has 192 divisors, whose sum is σ = 268907558400. Its totient is φ = 25548768000.

The previous prime is 87631214603. The next prime is 87631214639. The reversal of 87631214616 is 61641213678.

87631214616 is a `hidden beast` number, since 8 + 7 + 6 + 3 + 1 + 21 + 4 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2176266 + ... + 2216166.

It is an arithmetic number, because the mean of its divisors is an integer number (1400560200).

Almost surely, 2^87631214616 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 87631214616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134453779200).

87631214616 is an abundant number, since it is smaller than the sum of its proper divisors (181276343784).

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

87631214616 is a wasteful number, since it uses less digits than its factorization.

87631214616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40030 (or 40023 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 87631214616 in words is "eighty-seven billion, six hundred thirty-one million, two hundred fourteen thousand, six hundred sixteen".