91084416 has 64 divisors (see below), whose sum is σ = 252486720. Its totient is φ = 29038592.

The previous prime is 91084397. The next prime is 91084421. The reversal of 91084416 is 61448019.

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

It is a super-2 number, since 2×91084416² = 16592741676122112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3676 + ... + 13988.

It is an arithmetic number, because the mean of its divisors is an integer number (3945105).

Almost surely, 2^91084416 is an apocalyptic number.

91084416 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 91084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126243360).

91084416 is an abundant number, since it is smaller than the sum of its proper divisors (161402304).

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

91084416 is a wasteful number, since it uses less digits than its factorization.

91084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10353 (or 10341 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 91084416 is about 9543.8155891656. The cubic root of 91084416 is about 449.9331851417.

The spelling of 91084416 in words is "ninety-one million, eighty-four thousand, four hundred sixteen".