96816168 has 128 divisors (see below), whose sum is σ = 279936000. Its totient is φ = 30985920.

The previous prime is 96816157. The next prime is 96816169. The reversal of 96816168 is 86161869.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (96816169) 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 31 ways as a sum of consecutive naturals, for example, 904771 + ... + 904877.

It is an arithmetic number, because the mean of its divisors is an integer number (2187000).

Almost surely, 2^96816168 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 96816168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139968000).

96816168 is an abundant number, since it is smaller than the sum of its proper divisors (183119832).

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

96816168 is a wasteful number, since it uses less digits than its factorization.

96816168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 96816168 is about 9839.5207200351. The cubic root of 96816168 is about 459.1796468821.

The spelling of 96816168 in words is "ninety-six million, eight hundred sixteen thousand, one hundred sixty-eight".