86916 has 12 divisors (see below), whose sum is σ = 202832. Its totient is φ = 28968.

The previous prime is 86869. The next prime is 86923. The reversal of 86916 is 61968.

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable number.

86916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3610 + ... + 3633.

2⁸⁶⁹¹⁶ is an apocalyptic number.

It is an amenable number.

86916 is an abundant number, since it is smaller than the sum of its proper divisors (115916).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101416).

86916 is a wasteful number, since it uses less digits than its factorization.

86916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7250 (or 7248 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 86916 is about 294.8151963519. The cubic root of 86916 is about 44.2962107819.

The spelling of 86916 in words is "eighty-six thousand, nine hundred sixteen".