96951168 has 112 divisors (see below), whose sum is σ = 289863600. Its totient is φ = 32285952.

The previous prime is 96951163. The next prime is 96951199. The reversal of 96951168 is 86115969.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (96951161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 92793 + ... + 93831.

Almost surely, 2^96951168 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 96951168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144931800).

96951168 is an abundant number, since it is smaller than the sum of its proper divisors (192912432).

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

96951168 is an equidigital number, since it uses as much as digits as its factorization.

96951168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1044 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 96951168 is about 9846.3784205158. The cubic root of 96951168 is about 459.3929737241.

The spelling of 96951168 in words is "ninety-six million, nine hundred fifty-one thousand, one hundred sixty-eight".