96189120 has 168 divisors, whose sum is σ = 343381584. Its totient is φ = 25629696.

The previous prime is 96189097. The next prime is 96189127. The reversal of 96189120 is 2198169.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (96189127) 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, 77142 + ... + 78378.

It is an arithmetic number, because the mean of its divisors is an integer number (2043938).

Almost surely, 2^96189120 is an apocalyptic number.

96189120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171690792).

96189120 is an abundant number, since it is smaller than the sum of its proper divisors (247192464).

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

96189120 is a wasteful number, since it uses less digits than its factorization.

96189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 96189120 is about 9807.6052122830. The cubic root of 96189120 is about 458.1861780661.

The spelling of 96189120 in words is "ninety-six million, one hundred eighty-nine thousand, one hundred twenty".