96885152 has 120 divisors (see below), whose sum is σ = 242107236. Its totient is φ = 37933056.

The previous prime is 96885127. The next prime is 96885181. The reversal of 96885152 is 25158869.

It can be written as a sum of positive squares in 2 ways, for example, as 92236816 + 4648336 = 9604^2 + 2156^2 .

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 998768 + ... + 998864.

Almost surely, 2^96885152 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 96885152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121053618).

96885152 is an abundant number, since it is smaller than the sum of its proper divisors (145222084).

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

96885152 is an equidigital number, since it uses as much as digits as its factorization.

96885152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its digits is 172800, while the sum is 44.

The square root of 96885152 is about 9843.0255511199. The cubic root of 96885152 is about 459.2886800772.

The spelling of 96885152 in words is "ninety-six million, eight hundred eighty-five thousand, one hundred fifty-two".