96085120 has 128 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 35696640.

The previous prime is 96085079. The next prime is 96085127. The reversal of 96085120 is 2158069.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (96085127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575277 + ... + 575443.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2^96085120 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 96085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

96085120 is an abundant number, since it is smaller than the sum of its proper divisors (150673280).

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

96085120 is a wasteful number, since it uses less digits than its factorization.

96085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 96085120 is about 9802.3017705027. The cubic root of 96085120 is about 458.0209877049.

The spelling of 96085120 in words is "ninety-six million, eighty-five thousand, one hundred twenty".