91896000 has 224 divisors, whose sum is σ = 347423232. Its totient is φ = 20966400.

The previous prime is 91895959. The next prime is 91896019. The reversal of 91896000 is 69819.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 167727 + ... + 168273.

Almost surely, 2^91896000 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 91896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173711616).

91896000 is an abundant number, since it is smaller than the sum of its proper divisors (255527232).

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

91896000 is a wasteful number, since it uses less digits than its factorization.

91896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 91896000 is about 9586.2401388657. The cubic root of 91896000 is about 451.2655731869.

The spelling of 91896000 in words is "ninety-one million, eight hundred ninety-six thousand".