168096384 has 160 divisors (see below), whose sum is σ = 517376640. Its totient is φ = 54120960.

The previous prime is 168096377. The next prime is 168096389. The reversal of 168096384 is 483690861.

168096384 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 9 + 638 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (168096389) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 321147 + ... + 321669.

It is an arithmetic number, because the mean of its divisors is an integer number (3233604).

Almost surely, 2^168096384 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 168096384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258688320).

168096384 is an abundant number, since it is smaller than the sum of its proper divisors (349280256).

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

168096384 is an equidigital number, since it uses as much as digits as its factorization.

168096384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 559 counting only the distinct ones).

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

The square root of 168096384 is about 12965.1989572085. The cubic root of 168096384 is about 551.8903373837.

The spelling of 168096384 in words is "one hundred sixty-eight million, ninety-six thousand, three hundred eighty-four".