168005120 has 160 divisors (see below), whose sum is σ = 436043520. Its totient is φ = 61931520.

The previous prime is 168005111. The next prime is 168005129. The reversal of 168005120 is 21500861.

168005120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (168005111) and next prime (168005129).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168005129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2301404 + ... + 2301476.

It is an arithmetic number, because the mean of its divisors is an integer number (2725272).

Almost surely, 2^168005120 is an apocalyptic number.

168005120 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 168005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218021760).

168005120 is an abundant number, since it is smaller than the sum of its proper divisors (268038400).

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

168005120 is an equidigital number, since it uses as much as digits as its factorization.

168005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 168005120 is about 12961.6789035989. The cubic root of 168005120 is about 551.7904406525.

Adding to 168005120 its reverse (21500861), we get a palindrome (189505981).

The spelling of 168005120 in words is "one hundred sixty-eight million, five thousand, one hundred twenty".