96312384 has 84 divisors (see below), whose sum is σ = 315512704. Its totient is φ = 27516672.

The previous prime is 96312373. The next prime is 96312397. The reversal of 96312384 is 48321369.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7912 + ... + 15975.

Almost surely, 2^96312384 is an apocalyptic number.

It is an amenable number.

96312384 is an abundant number, since it is smaller than the sum of its proper divisors (219200320).

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

96312384 is a wasteful number, since it uses less digits than its factorization.

96312384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23912 (or 23899 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 96312384 is about 9813.8873032046. The cubic root of 96312384 is about 458.3818126424.

The spelling of 96312384 in words is "ninety-six million, three hundred twelve thousand, three hundred eighty-four".