96339816 has 96 divisors (see below), whose sum is σ = 285292800. Its totient is φ = 29237760.

The previous prime is 96339811. The next prime is 96339821. The reversal of 96339816 is 61893369.

96339816 is a `hidden beast` number, since 9 + 633 + 9 + 8 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (96339811) and next prime (96339821).

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

Its product of digits (209952) is a multiple of the sum of its prime divisors (2592).

It is not an unprimeable number, because it can be changed into a prime (96339811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36675 + ... + 39213.

It is an arithmetic number, because the mean of its divisors is an integer number (2971800).

Almost surely, 2^96339816 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 96339816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142646400).

96339816 is an abundant number, since it is smaller than the sum of its proper divisors (188952984).

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

96339816 is a wasteful number, since it uses less digits than its factorization.

96339816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2592 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 96339816 is about 9815.2848150219. The cubic root of 96339816 is about 458.4253277673.

The spelling of 96339816 in words is "ninety-six million, three hundred thirty-nine thousand, eight hundred sixteen".