96735168 has 224 divisors, whose sum is σ = 312724800. Its totient is φ = 29196288.

The previous prime is 96735167. The next prime is 96735173. The reversal of 96735168 is 86153769.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96735167) 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, 1086868 + ... + 1086956.

Almost surely, 2^96735168 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 96735168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156362400).

96735168 is an abundant number, since it is smaller than the sum of its proper divisors (215989632).

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

96735168 is a wasteful number, since it uses less digits than its factorization.

96735168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 96735168 is about 9835.4038046234. The cubic root of 96735168 is about 459.0515555743.

It can be divided in two parts, 9673 and 5168, that added together give a palindrome (14841).

The spelling of 96735168 in words is "ninety-six million, seven hundred thirty-five thousand, one hundred sixty-eight".