91986816 has 64 divisors (see below), whose sum is σ = 245350800. Its totient is φ = 30535680.

The previous prime is 91986803. The next prime is 91986823. The reversal of 91986816 is 61868919.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 161380 + ... + 161948.

Almost surely, 2^91986816 is an apocalyptic number.

91986816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122675400).

91986816 is an abundant number, since it is smaller than the sum of its proper divisors (153363984).

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

91986816 is a wasteful number, since it uses less digits than its factorization.

91986816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 995 counting only the distinct ones).

The product of its digits is 186624, while the sum is 48.

The square root of 91986816 is about 9590.9757584930. The cubic root of 91986816 is about 451.4141782823.

The spelling of 91986816 in words is "ninety-one million, nine hundred eighty-six thousand, eight hundred sixteen".