168120180 has 36 divisors (see below), whose sum is σ = 509965092. Its totient is φ = 44832000.

The previous prime is 168120149. The next prime is 168120181. The reversal of 168120180 is 81021861.

It can be written as a sum of positive squares in 2 ways, for example, as 47032164 + 121088016 = 6858^2 + 11004^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168120181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466821 + ... + 467180.

It is an arithmetic number, because the mean of its divisors is an integer number (14165697).

Almost surely, 2^168120180 is an apocalyptic number.

168120180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168120180 is an abundant number, since it is smaller than the sum of its proper divisors (341844912).

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

168120180 is a wasteful number, since it uses less digits than its factorization.

168120180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934016 (or 934011 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 168120180 is about 12966.1166121549. The cubic root of 168120180 is about 551.9163783222.

The spelling of 168120180 in words is "one hundred sixty-eight million, one hundred twenty thousand, one hundred eighty".