91168 has 48 divisors (see below), whose sum is σ = 229824. Its totient is φ = 34560.

The previous prime is 91163. The next prime is 91183. The reversal of 91168 is 86119.

It is not an unprimeable number, because it can be changed into a prime (91163) by changing a digit.

91168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2446 + ... + 2482.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2⁹¹¹⁶⁸ 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 91168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912).

91168 is an abundant number, since it is smaller than the sum of its proper divisors (138656).

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

91168 is a wasteful number, since it uses less digits than its factorization.

91168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 57 counting only the distinct ones).

The product of its digits is 432, while the sum is 25.

The square root of 91168 is about 301.9403914682. The cubic root of 91168 is about 45.0070770762.

It can be divided in two parts, 911 and 68, that added together give a palindrome (979).

The spelling of 91168 in words is "ninety-one thousand, one hundred sixty-eight".