96736800 has 144 divisors (see below), whose sum is σ = 333541152. Its totient is φ = 24268800.

The previous prime is 96736793. The next prime is 96736823. The reversal of 96736800 is 863769.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39615 + ... + 41985.

It is an arithmetic number, because the mean of its divisors is an integer number (2316258).

Almost surely, 2^96736800 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 96736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166770576).

96736800 is an abundant number, since it is smaller than the sum of its proper divisors (236804352).

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

96736800 is a wasteful number, since it uses less digits than its factorization.

96736800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 96736800 is about 9835.4867698554. The cubic root of 96736800 is about 459.0541370826.

The spelling of 96736800 in words is "ninety-six million, seven hundred thirty-six thousand, eight hundred".