96307200 has 432 divisors, whose sum is σ = 396068400. Its totient is φ = 22118400.

The previous prime is 96307199. The next prime is 96307243. The reversal of 96307200 is 270369.

96307200 is a `hidden beast` number, since 9 + 630 + 7 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5068791 + ... + 5068809.

It is an arithmetic number, because the mean of its divisors is an integer number (916825).

Almost surely, 2^96307200 is an apocalyptic number.

96307200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198034200).

96307200 is an abundant number, since it is smaller than the sum of its proper divisors (299761200).

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

96307200 is a wasteful number, since it uses less digits than its factorization.

96307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 96307200 is about 9813.6231841252. The cubic root of 96307200 is about 458.3735883835.

Adding to 96307200 its reverse (270369), we get a palindrome (96577569).

The spelling of 96307200 in words is "ninety-six million, three hundred seven thousand, two hundred".