91996872 has 128 divisors (see below), whose sum is σ = 266112000. Its totient is φ = 26231040.

The previous prime is 91996867. The next prime is 91996939. The reversal of 91996872 is 27869919.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661779 + ... + 661917.

It is an arithmetic number, because the mean of its divisors is an integer number (2079000).

Almost surely, 2^91996872 is an apocalyptic number.

91996872 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is a pronic number, being equal to 9591×9592.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91996872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056000).

91996872 is an abundant number, since it is smaller than the sum of its proper divisors (174115128).

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

91996872 is a wasteful number, since it uses less digits than its factorization.

91996872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its digits is 489888, while the sum is 51.

The square root of 91996872 is about 9591.4999869676. The cubic root of 91996872 is about 451.4306272177.

The spelling of 91996872 in words is "ninety-one million, nine hundred ninety-six thousand, eight hundred seventy-two".