96321312 has 84 divisors (see below), whose sum is σ = 284387670. Its totient is φ = 32099328.

The previous prime is 96321307. The next prime is 96321343. The reversal of 96321312 is 21312369.

96321312 is a `hidden beast` number, since 9 + 632 + 13 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80353296 + 15968016 = 8964^2 + 3996^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

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, 21264 + ... + 25392.

Almost surely, 2^96321312 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 96321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142193835).

96321312 is an abundant number, since it is smaller than the sum of its proper divisors (188066358).

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

96321312 is an equidigital number, since it uses as much as digits as its factorization.

96321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4134 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 96321312 is about 9814.3421582906. The cubic root of 96321312 is about 458.3959759522.

The spelling of 96321312 in words is "ninety-six million, three hundred twenty-one thousand, three hundred twelve".