96316800 has 192 divisors, whose sum is σ = 323788800. Its totient is φ = 25159680.

The previous prime is 96316777. The next prime is 96316807. The reversal of 96316800 is 861369.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96316807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 758337 + ... + 758463.

It is an arithmetic number, because the mean of its divisors is an integer number (1686400).

Almost surely, 2^96316800 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 96316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161894400).

96316800 is an abundant number, since it is smaller than the sum of its proper divisors (227472000).

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

96316800 is a wasteful number, since it uses less digits than its factorization.

96316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 96316800 is about 9814.1122879250. The cubic root of 96316800 is about 458.3888182599.

The spelling of 96316800 in words is "ninety-six million, three hundred sixteen thousand, eight hundred".