91161168 has 120 divisors (see below), whose sum is σ = 277178688. Its totient is φ = 25815552.

The previous prime is 91161151. The next prime is 91161209. The reversal of 91161168 is 86116119.

It is a super-2 number, since 2×91161168² = 16620717102248448, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 806680 + ... + 806792.

Almost surely, 2^91161168 is an apocalyptic number.

91161168 is a gapful number since it is divisible by the number (98) 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 91161168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138589344).

91161168 is an abundant number, since it is smaller than the sum of its proper divisors (186017520).

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

91161168 is an equidigital number, since it uses as much as digits as its factorization.

91161168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its digits is 2592, while the sum is 33.

The square root of 91161168 is about 9547.8357757138. The cubic root of 91161168 is about 450.0595279275.

The spelling of 91161168 in words is "ninety-one million, one hundred sixty-one thousand, one hundred sixty-eight".