96259200 has 192 divisors, whose sum is σ = 326824320. Its totient is φ = 24883200.

The previous prime is 96259199. The next prime is 96259213. The reversal of 96259200 is 295269.

It is a tau number, because it is divible by the number of its divisors (192).

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, 355065 + ... + 355335.

It is an arithmetic number, because the mean of its divisors is an integer number (1702210).

Almost surely, 2^96259200 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 96259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163412160).

96259200 is an abundant number, since it is smaller than the sum of its proper divisors (230565120).

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

96259200 is a wasteful number, since it uses less digits than its factorization.

96259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 96259200 is about 9811.1772993867. The cubic root of 96259200 is about 458.2974238166.

The spelling of 96259200 in words is "ninety-six million, two hundred fifty-nine thousand, two hundred".