168120320 has 52 divisors (see below), whose sum is σ = 403488660. Its totient is φ = 67239936.

The previous prime is 168120311. The next prime is 168120343. The reversal of 168120320 is 23021861.

It can be written as a sum of positive squares in 2 ways, for example, as 32444416 + 135675904 = 5696^2 + 11648^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16376 + ... + 24584.

Almost surely, 2^168120320 is an apocalyptic number.

168120320 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 168120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201744330).

168120320 is an abundant number, since it is smaller than the sum of its proper divisors (235368340).

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

168120320 is an frugal number, since it uses more digits than its factorization.

168120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8238 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 168120320 is about 12966.1220108404. The cubic root of 168120320 is about 551.9165315227.

The spelling of 168120320 in words is "one hundred sixty-eight million, one hundred twenty thousand, three hundred twenty".