96495168 has 224 divisors, whose sum is σ = 326550528. Its totient is φ = 24422400.

The previous prime is 96495121. The next prime is 96495197. The reversal of 96495168 is 86159469.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×96495168² = 18622634894696448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901771 + ... + 901877.

Almost surely, 2^96495168 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 96495168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163275264).

96495168 is an abundant number, since it is smaller than the sum of its proper divisors (230055360).

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

96495168 is a wasteful number, since it uses less digits than its factorization.

96495168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 96495168 is about 9823.1954067910. The cubic root of 96495168 is about 458.6716054693.

The spelling of 96495168 in words is "ninety-six million, four hundred ninety-five thousand, one hundred sixty-eight".