91909600 has 72 divisors (see below), whose sum is σ = 226344888. Its totient is φ = 36441600.

The previous prime is 91909589. The next prime is 91909603. The reversal of 91909600 is 690919.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91909603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104362 + ... + 105238.

It is an arithmetic number, because the mean of its divisors is an integer number (3143679).

Almost surely, 2^91909600 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 91909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113172444).

91909600 is an abundant number, since it is smaller than the sum of its proper divisors (134435288).

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

91909600 is a wasteful number, since it uses less digits than its factorization.

91909600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 34.

The square root of 91909600 is about 9586.9494626810. The cubic root of 91909600 is about 451.2878335285.

The spelling of 91909600 in words is "ninety-one million, nine hundred nine thousand, six hundred".