96904320 has 128 divisors (see below), whose sum is σ = 316673280. Its totient is φ = 25190400.

The previous prime is 96904309. The next prime is 96904321. The reversal of 96904320 is 2340969.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (96904321) 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, 78105 + ... + 79335.

It is an arithmetic number, because the mean of its divisors is an integer number (2474010).

Almost surely, 2^96904320 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 96904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158336640).

96904320 is an abundant number, since it is smaller than the sum of its proper divisors (219768960).

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

96904320 is a wasteful number, since it uses less digits than its factorization.

96904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 96904320 is about 9843.9991873222. Note that the first 3 decimals coincide. The cubic root of 96904320 is about 459.3189670191.

The spelling of 96904320 in words is "ninety-six million, nine hundred four thousand, three hundred twenty".