96823296 has 192 divisors, whose sum is σ = 306633600. Its totient is φ = 30081024.

The previous prime is 96823289. The next prime is 96823301. The reversal of 96823296 is 69232869.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939981 + ... + 940083.

It is an arithmetic number, because the mean of its divisors is an integer number (1597050).

Almost surely, 2^96823296 is an apocalyptic number.

96823296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96823296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

96823296 is an abundant number, since it is smaller than the sum of its proper divisors (209810304).

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

96823296 is a wasteful number, since it uses less digits than its factorization.

96823296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 96823296 is about 9839.8829261328. The cubic root of 96823296 is about 459.1909154965.

The spelling of 96823296 in words is "ninety-six million, eight hundred twenty-three thousand, two hundred ninety-six".