91820800 has 54 divisors (see below), whose sum is σ = 227286668. Its totient is φ = 36725760.

The previous prime is 91820783. The next prime is 91820849. The reversal of 91820800 is 802819.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 774 + ... + 13573.

Almost surely, 2^91820800 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 91820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113643334).

91820800 is an abundant number, since it is smaller than the sum of its proper divisors (135465868).

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

91820800 is a wasteful number, since it uses less digits than its factorization.

91820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14373 (or 14354 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 91820800 is about 9582.3170475621. The cubic root of 91820800 is about 451.1424469287.

The spelling of 91820800 in words is "ninety-one million, eight hundred twenty thousand, eight hundred".