96384168 has 160 divisors (see below), whose sum is σ = 292723200. Its totient is φ = 29538432.

The previous prime is 96384143. The next prime is 96384181. The reversal of 96384168 is 86148369.

96384168 is a `hidden beast` number, since 9 + 638 + 4 + 1 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 432105 + ... + 432327.

It is an arithmetic number, because the mean of its divisors is an integer number (1829520).

Almost surely, 2^96384168 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 96384168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146361600).

96384168 is an abundant number, since it is smaller than the sum of its proper divisors (196339032).

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

96384168 is a wasteful number, since it uses less digits than its factorization.

96384168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 96384168 is about 9817.5438883664. The cubic root of 96384168 is about 458.4956654591.

The spelling of 96384168 in words is "ninety-six million, three hundred eighty-four thousand, one hundred sixty-eight".