168168320 has 64 divisors (see below), whose sum is σ = 405388800. Its totient is φ = 66705408.

The previous prime is 168168317. The next prime is 168168331. The reversal of 168168320 is 23861861.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80246 + ... + 82314.

It is an arithmetic number, because the mean of its divisors is an integer number (6334200).

Almost surely, 2^168168320 is an apocalyptic number.

168168320 is a gapful number since it is divisible by the number (10) 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 168168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202694400).

168168320 is an abundant number, since it is smaller than the sum of its proper divisors (237220480).

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

168168320 is a wasteful number, since it uses less digits than its factorization.

168168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 168168320 is about 12967.9728562332. The cubic root of 168168320 is about 551.9690523853.

The spelling of 168168320 in words is "one hundred sixty-eight million, one hundred sixty-eight thousand, three hundred twenty".