91290800 has 60 divisors (see below), whose sum is σ = 220468776. Its totient is φ = 36326400.

The previous prime is 91290791. The next prime is 91290851. The reversal of 91290800 is 809219.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95927 + ... + 96873.

Almost surely, 2^91290800 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 91290800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110234388).

91290800 is an abundant number, since it is smaller than the sum of its proper divisors (129177976).

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

91290800 is a wasteful number, since it uses less digits than its factorization.

91290800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 91290800 is about 9554.6219182132. The cubic root of 91290800 is about 450.2727564527.

The spelling of 91290800 in words is "ninety-one million, two hundred ninety thousand, eight hundred".