96856320 has 144 divisors (see below), whose sum is σ = 337603392. Its totient is φ = 23470080.

The previous prime is 96856313. The next prime is 96856367. The reversal of 96856320 is 2365869.

It is a super-2 number, since 2×96856320² = 18762293447884800, which contains 22 as substring.

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, 41094 + ... + 43386.

It is an arithmetic number, because the mean of its divisors is an integer number (2344468).

Almost surely, 2^96856320 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 96856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168801696).

96856320 is an abundant number, since it is smaller than the sum of its proper divisors (240747072).

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

96856320 is a wasteful number, since it uses less digits than its factorization.

96856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 96856320 is about 9841.5608518161. The cubic root of 96856320 is about 459.2431157337.

The spelling of 96856320 in words is "ninety-six million, eight hundred fifty-six thousand, three hundred twenty".