91904800 has 72 divisors (see below), whose sum is σ = 241648596. Its totient is φ = 33930240.

The previous prime is 91904797. The next prime is 91904819. The reversal of 91904800 is 840919.

It can be written as a sum of positive squares in 6 ways, for example, as 50069776 + 41835024 = 7076^2 + 6468^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5982 + ... + 14818.

Almost surely, 2^91904800 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 91904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120824298).

91904800 is an abundant number, since it is smaller than the sum of its proper divisors (149743796).

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

91904800 is a wasteful number, since it uses less digits than its factorization.

91904800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8870 (or 8857 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 91904800 is about 9586.6991190920. The cubic root of 91904800 is about 451.2799771881.

The spelling of 91904800 in words is "ninety-one million, nine hundred four thousand, eight hundred".