96918768 has 200 divisors, whose sum is σ = 306261648. Its totient is φ = 29472768.

The previous prime is 96918749. The next prime is 96918779. The reversal of 96918768 is 86781969.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1167655 + ... + 1167737.

Almost surely, 2^96918768 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 96918768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153130824).

96918768 is an abundant number, since it is smaller than the sum of its proper divisors (209342880).

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

96918768 is a wasteful number, since it uses less digits than its factorization.

96918768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 96918768 is about 9844.7330080607. The cubic root of 96918768 is about 459.3417933514.

The spelling of 96918768 in words is "ninety-six million, nine hundred eighteen thousand, seven hundred sixty-eight".