96088800 has 72 divisors (see below), whose sum is σ = 312776856. Its totient is φ = 25623040.

The previous prime is 96088799. The next prime is 96088819. The reversal of 96088800 is 888069.

It is a congruent number.

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, 17619 + ... + 22418.

It is an arithmetic number, because the mean of its divisors is an integer number (4344123).

Almost surely, 2^96088800 is an apocalyptic number.

It is an amenable number.

96088800 is an abundant number, since it is smaller than the sum of its proper divisors (216688056).

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

96088800 is a wasteful number, since it uses less digits than its factorization.

96088800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40060 (or 40047 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 96088800 is about 9802.4894797189. The cubic root of 96088800 is about 458.0268349360.

The spelling of 96088800 in words is "ninety-six million, eighty-eight thousand, eight hundred".