91119168 has 252 divisors, whose sum is σ = 319950592. Its totient is φ = 25194240.

The previous prime is 91119157. The next prime is 91119173. The reversal of 91119168 is 86191119.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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 35 ways as a sum of consecutive naturals, for example, 2939313 + ... + 2939343.

Almost surely, 2^91119168 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 91119168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159975296).

91119168 is an abundant number, since it is smaller than the sum of its proper divisors (228831424).

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

91119168 is an frugal number, since it uses more digits than its factorization.

91119168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 43 counting only the distinct ones).

The product of its digits is 3888, while the sum is 36.

The square root of 91119168 is about 9545.6360710012. The cubic root of 91119168 is about 449.9903997952.

91119168 divided by its product of digits (3888) gives a triangular number (23436 = T₂₁₆).

The spelling of 91119168 in words is "ninety-one million, one hundred nineteen thousand, one hundred sixty-eight".