96566304 has 96 divisors (see below), whose sum is σ = 262785600. Its totient is φ = 31030272.

The previous prime is 96566299. The next prime is 96566321. The reversal of 96566304 is 40366569.

It is a happy number.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614994 + ... + 615150.

It is an arithmetic number, because the mean of its divisors is an integer number (2737350).

Almost surely, 2^96566304 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 96566304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131392800).

96566304 is an abundant number, since it is smaller than the sum of its proper divisors (166219296).

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

96566304 is a wasteful number, since it uses less digits than its factorization.

96566304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 96566304 is about 9826.8155574428. The cubic root of 96566304 is about 458.7842883097.

The spelling of 96566304 in words is "ninety-six million, five hundred sixty-six thousand, three hundred four".