91252800 has 126 divisors (see below), whose sum is σ = 324385178. Its totient is φ = 24330240.

The previous prime is 91252789. The next prime is 91252817. The reversal of 91252800 is 825219.

It can be written as a sum of positive squares in 3 ways, for example, as 2742336 + 88510464 = 1656^2 + 9408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11232 + ... + 17568.

Almost surely, 2^91252800 is an apocalyptic number.

91252800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162192589).

91252800 is an abundant number, since it is smaller than the sum of its proper divisors (233132378).

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

91252800 is a wasteful number, since it uses less digits than its factorization.

91252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6365 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 91252800 is about 9552.6331448455. The cubic root of 91252800 is about 450.2102721009.

The spelling of 91252800 in words is "ninety-one million, two hundred fifty-two thousand, eight hundred".