96964320 has 96 divisors (see below), whose sum is σ = 318753792. Its totient is φ = 24730112.

The previous prime is 96964289. The next prime is 96964327. The reversal of 96964320 is 2346969.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96964327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6649 + ... + 15431.

It is an arithmetic number, because the mean of its divisors is an integer number (3320352).

Almost surely, 2^96964320 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 96964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159376896).

96964320 is an abundant number, since it is smaller than the sum of its proper divisors (221789472).

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

96964320 is a wasteful number, since it uses less digits than its factorization.

96964320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8824 (or 8816 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 96964320 is about 9847.0462576348. The cubic root of 96964320 is about 459.4137459105.

The spelling of 96964320 in words is "ninety-six million, nine hundred sixty-four thousand, three hundred twenty".