96368160 has 384 divisors, whose sum is σ = 383201280. Its totient is φ = 19869696.

The previous prime is 96368149. The next prime is 96368161. The reversal of 96368160 is 6186369.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (96368161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2241099 + ... + 2241141.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 2^96368160 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 96368160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191600640).

96368160 is an abundant number, since it is smaller than the sum of its proper divisors (286833120).

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

96368160 is a wasteful number, since it uses less digits than its factorization.

96368160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 96368160 is about 9816.7285793181. The cubic root of 96368160 is about 458.4702809133.

The spelling of 96368160 in words is "ninety-six million, three hundred sixty-eight thousand, one hundred sixty".