91686016 has 32 divisors (see below), whose sum is σ = 185399280. Its totient is φ = 45154560.

The previous prime is 91685977. The next prime is 91686031. The reversal of 91686016 is 61068619.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3231 + ... + 13921.

Almost surely, 2^91686016 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 91686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92699640).

91686016 is an abundant number, since it is smaller than the sum of its proper divisors (93713264).

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

91686016 is a wasteful number, since it uses less digits than its factorization.

91686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10772 (or 10760 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 91686016 is about 9575.2815102220. The cubic root of 91686016 is about 450.9215944251.

The spelling of 91686016 in words is "ninety-one million, six hundred eighty-six thousand, sixteen".