96768000 has 416 divisors, whose sum is σ = 408894720. Its totient is φ = 22118400.

The previous prime is 96767989. The next prime is 96768037. The reversal of 96768000 is 86769.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13823997 + ... + 13824003.

It is an arithmetic number, because the mean of its divisors is an integer number (982920).

Almost surely, 2^96768000 is an apocalyptic number.

96768000 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 96768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204447360).

96768000 is an abundant number, since it is smaller than the sum of its proper divisors (312126720).

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

96768000 is an equidigital number, since it uses as much as digits as its factorization.

96768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 96768000 is about 9837.0727353212. The cubic root of 96768000 is about 459.1034838654.

The spelling of 96768000 in words is "ninety-six million, seven hundred sixty-eight thousand".