91372968 has 96 divisors (see below), whose sum is σ = 263390400. Its totient is φ = 29348928.

The previous prime is 91372961. The next prime is 91372987. The reversal of 91372968 is 86927319.

It is a super-2 number, since 2×91372968² = 16698038562258048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91372961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181405 + ... + 181907.

It is an arithmetic number, because the mean of its divisors is an integer number (2743650).

Almost surely, 2^91372968 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 91372968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131695200).

91372968 is an abundant number, since it is smaller than the sum of its proper divisors (172017432).

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

91372968 is a wasteful number, since it uses less digits than its factorization.

91372968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 537 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 91372968 is about 9558.9208595950. The cubic root of 91372968 is about 450.4078080940.

The spelling of 91372968 in words is "ninety-one million, three hundred seventy-two thousand, nine hundred sixty-eight".