96842304 has 168 divisors, whose sum is σ = 310652160. Its totient is φ = 29735424.

The previous prime is 96842267. The next prime is 96842309. The reversal of 96842304 is 40324869.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (96842309) by changing a digit.

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, 201937 + ... + 202415.

It is an arithmetic number, because the mean of its divisors is an integer number (1849120).

Almost surely, 2^96842304 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 96842304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155326080).

96842304 is an abundant number, since it is smaller than the sum of its proper divisors (213809856).

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

96842304 is a wasteful number, since it uses less digits than its factorization.

96842304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 96842304 is about 9840.8487438838. The cubic root of 96842304 is about 459.2209624314.

The spelling of 96842304 in words is "ninety-six million, eight hundred forty-two thousand, three hundred four".