96984352 has 48 divisors (see below), whose sum is σ = 202419000. Its totient is φ = 45660160.

The previous prime is 96984317. The next prime is 96984361. The reversal of 96984352 is 25348969.

It can be written as a sum of positive squares in 4 ways, for example, as 81649296 + 15335056 = 9036^2 + 3916^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36774 + ... + 39322.

Almost surely, 2^96984352 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 96984352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101209500).

96984352 is an abundant number, since it is smaller than the sum of its proper divisors (105434648).

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

96984352 is a wasteful number, since it uses less digits than its factorization.

96984352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2621 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The square root of 96984352 is about 9848.0633629156. The cubic root of 96984352 is about 459.4453807169.

It can be divided in two parts, 96984 and 352, that added together give a cube (97336 = 46³).

The spelling of 96984352 in words is "ninety-six million, nine hundred eighty-four thousand, three hundred fifty-two".