96984816 has 120 divisors (see below), whose sum is σ = 274960080. Its totient is φ = 29417472.

The previous prime is 96984791. The next prime is 96984817. The reversal of 96984816 is 61848969.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96984817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502416 + ... + 502608.

It is an arithmetic number, because the mean of its divisors is an integer number (2291334).

Almost surely, 2^96984816 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 96984816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137480040).

96984816 is an abundant number, since it is smaller than the sum of its proper divisors (177975264).

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

96984816 is a wasteful number, since it uses less digits than its factorization.

96984816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 246 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 96984816 is about 9848.0869208187. The cubic root of 96984816 is about 459.4461134204.

The spelling of 96984816 in words is "ninety-six million, nine hundred eighty-four thousand, eight hundred sixteen".