91638600 has 96 divisors (see below), whose sum is σ = 286127520. Its totient is φ = 24261120.

The previous prime is 91638587. The next prime is 91638611. The reversal of 91638600 is 683619.

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 23 ways as a sum of consecutive naturals, for example, 97332 + ... + 98268.

It is an arithmetic number, because the mean of its divisors is an integer number (2980495).

Almost surely, 2^91638600 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 91638600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143063760).

91638600 is an abundant number, since it is smaller than the sum of its proper divisors (194488920).

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

91638600 is a wasteful number, since it uses less digits than its factorization.

91638600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 91638600 is about 9572.8052314878. The cubic root of 91638600 is about 450.8438487082.

The spelling of 91638600 in words is "ninety-one million, six hundred thirty-eight thousand, six hundred".