96391296 has 112 divisors (see below), whose sum is σ = 288191310. Its totient is φ = 32099328.

The previous prime is 96391261. The next prime is 96391301. The reversal of 96391296 is 69219369.

It is a happy number.

96391296 is a `hidden beast` number, since 9 + 639 + 1 + 2 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57153600 + 39237696 = 7560^2 + 6264^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 92796 + ... + 93828.

Almost surely, 2^96391296 is an apocalyptic number.

96391296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96391296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144095655).

96391296 is an abundant number, since it is smaller than the sum of its proper divisors (191800014).

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

96391296 is an equidigital number, since it uses as much as digits as its factorization.

96391296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1038 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 96391296 is about 9817.9069052421. The cubic root of 96391296 is about 458.5069677182.

The spelling of 96391296 in words is "ninety-six million, three hundred ninety-one thousand, two hundred ninety-six".