91530800 has 60 divisors (see below), whose sum is σ = 229486800. Its totient is φ = 35016960.

The previous prime is 91530799. The next prime is 91530811. The reversal of 91530800 is 803519.

It is a self number, because there is not a number n which added to its sum of digits gives 91530800.

It is a congruent number.

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, 4226 + ... + 14174.

It is an arithmetic number, because the mean of its divisors is an integer number (3824780).

Almost surely, 2^91530800 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 91530800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114743400).

91530800 is an abundant number, since it is smaller than the sum of its proper divisors (137956000).

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

91530800 is a wasteful number, since it uses less digits than its factorization.

91530800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9990 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 91530800 is about 9567.1730411862. The cubic root of 91530800 is about 450.6669944249. Note that the first 3 decimals are identical.

The spelling of 91530800 in words is "ninety-one million, five hundred thirty thousand, eight hundred".