96765968 has 80 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 42104832.

The previous prime is 96765943. The next prime is 96766009. The reversal of 96765968 is 86956769.

Its product of digits (4898880) is a multiple of the sum of its prime factors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540503 + ... + 540681.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2^96765968 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 96765968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

96765968 is an abundant number, since it is smaller than the sum of its proper divisors (116970352).

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

96765968 is a wasteful number, since it uses less digits than its factorization.

96765968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 330 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 56.

The square root of 96765968 is about 9836.9694520213. The cubic root of 96765968 is about 459.1002703209.

The spelling of 96765968 in words is "ninety-six million, seven hundred sixty-five thousand, nine hundred sixty-eight".