96806304 has 144 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 26749440.

The previous prime is 96806267. The next prime is 96806327. The reversal of 96806304 is 40360869.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 61722 + ... + 63270.

It is an arithmetic number, because the mean of its divisors is an integer number (2256800).

Almost surely, 2^96806304 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 96806304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

96806304 is an abundant number, since it is smaller than the sum of its proper divisors (228172896).

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

96806304 is a wasteful number, since it uses less digits than its factorization.

96806304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 96806304 is about 9839.0194633408. The cubic root of 96806304 is about 459.1640520286.

The spelling of 96806304 in words is "ninety-six million, eight hundred six thousand, three hundred four".