96888800 has 72 divisors (see below), whose sum is σ = 237922272. Its totient is φ = 38528000.

The previous prime is 96888793. The next prime is 96888833. The reversal of 96888800 is 888869.

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, 224585 + ... + 225015.

It is an arithmetic number, because the mean of its divisors is an integer number (3304476).

Almost surely, 2^96888800 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 96888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118961136).

96888800 is an abundant number, since it is smaller than the sum of its proper divisors (141033472).

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

96888800 is a wasteful number, since it uses less digits than its factorization.

96888800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 47.

The square root of 96888800 is about 9843.2108582515. The cubic root of 96888800 is about 459.2944445108.

The spelling of 96888800 in words is "ninety-six million, eight hundred eighty-eight thousand, eight hundred".