91638596 has 48 divisors (see below), whose sum is σ = 193925760. Its totient is φ = 37013760.

The previous prime is 91638587. The next prime is 91638611. The reversal of 91638596 is 69583619.

It is a self number, because there is not a number n which added to its sum of digits gives 91638596.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149186 + ... + 149798.

It is an arithmetic number, because the mean of its divisors is an integer number (4040120).

Almost surely, 2^91638596 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 91638596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96962880).

91638596 is an abundant number, since it is smaller than the sum of its proper divisors (102287164).

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

91638596 is a wasteful number, since it uses less digits than its factorization.

91638596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 922 counting only the distinct ones).

The product of its digits is 349920, while the sum is 47.

The square root of 91638596 is about 9572.8050225626. The cubic root of 91638596 is about 450.8438421485.

The spelling of 91638596 in words is "ninety-one million, six hundred thirty-eight thousand, five hundred ninety-six".