91314816 has 64 divisors (see below), whose sum is σ = 249149280. Its totient is φ = 29611008.

The previous prime is 91314793. The next prime is 91314829. The reversal of 91314816 is 61841319.

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

It is a super-2 number, since 2×91314816² = 16676791242227712, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10995 + ... + 17421.

Almost surely, 2^91314816 is an apocalyptic number.

91314816 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 91314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124574640).

91314816 is an abundant number, since it is smaller than the sum of its proper divisors (157834464).

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

91314816 is a wasteful number, since it uses less digits than its factorization.

91314816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6481 (or 6469 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 91314816 is about 9555.8786095262. The cubic root of 91314816 is about 450.3122376213.

The spelling of 91314816 in words is "ninety-one million, three hundred fourteen thousand, eight hundred sixteen".