96499200 has 240 divisors, whose sum is σ = 365333760. Its totient is φ = 21995520.

The previous prime is 96499159. The next prime is 96499213. The reversal of 96499200 is 299469.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 268621 + ... + 268979.

It is an arithmetic number, because the mean of its divisors is an integer number (1522224).

Almost surely, 2^96499200 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 96499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182666880).

96499200 is an abundant number, since it is smaller than the sum of its proper divisors (268834560).

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

96499200 is a wasteful number, since it uses less digits than its factorization.

96499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 96499200 is about 9823.4006331820. The cubic root of 96499200 is about 458.6779938312.

The spelling of 96499200 in words is "ninety-six million, four hundred ninety-nine thousand, two hundred".