168085300 has 36 divisors (see below), whose sum is σ = 367437420. Its totient is φ = 66737920.

The previous prime is 168085289. The next prime is 168085319. The reversal of 168085300 is 3580861.

It can be written as a sum of positive squares in 6 ways, for example, as 5216656 + 162868644 = 2284^2 + 12762^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7566 + ... + 19834.

It is an arithmetic number, because the mean of its divisors is an integer number (10206595).

Almost surely, 2^168085300 is an apocalyptic number.

168085300 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 168085300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183718710).

168085300 is an abundant number, since it is smaller than the sum of its proper divisors (199352120).

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

168085300 is a wasteful number, since it uses less digits than its factorization.

168085300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12420 (or 12413 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 168085300 is about 12964.7714981792. The cubic root of 168085300 is about 551.8782068690.

The spelling of 168085300 in words is "one hundred sixty-eight million, eighty-five thousand, three hundred".