96116160 has 112 divisors (see below), whose sum is σ = 348788736. Its totient is φ = 21967872.

The previous prime is 96116159. The next prime is 96116161. The reversal of 96116160 is 6161169.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96116159) and next prime (96116161).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96116161) 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, 432 + ... + 13871.

Almost surely, 2^96116160 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 96116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174394368).

96116160 is an abundant number, since it is smaller than the sum of its proper divisors (252672576).

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

96116160 is a wasteful number, since it uses less digits than its factorization.

96116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14330 (or 14320 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 96116160 is about 9803.8849442453. The cubic root of 96116160 is about 458.0703031480.

The spelling of 96116160 in words is "ninety-six million, one hundred sixteen thousand, one hundred sixty".