91883136 has 128 divisors (see below), whose sum is σ = 260467200. Its totient is φ = 28643328.

The previous prime is 91883111. The next prime is 91883149. The reversal of 91883136 is 63138819.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 91883094 and 91883103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411921 + ... + 412143.

It is an arithmetic number, because the mean of its divisors is an integer number (2034900).

Almost surely, 2^91883136 is an apocalyptic number.

91883136 is a gapful number since it is divisible by the number (96) 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 91883136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130233600).

91883136 is an abundant number, since it is smaller than the sum of its proper divisors (168584064).

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

91883136 is a wasteful number, since it uses less digits than its factorization.

91883136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 91883136 is about 9585.5691536810. The cubic root of 91883136 is about 451.2445155013.

The spelling of 91883136 in words is "ninety-one million, eight hundred eighty-three thousand, one hundred thirty-six".