189668120 has 64 divisors (see below), whose sum is σ = 460728000. Its totient is φ = 70056448.

The previous prime is 189668119. The next prime is 189668123. The reversal of 189668120 is 21866981.

189668120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189668123) 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 15 ways as a sum of consecutive naturals, for example, 23126 + ... + 30234.

It is an arithmetic number, because the mean of its divisors is an integer number (7198875).

Almost surely, 2^189668120 is an apocalyptic number.

189668120 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 189668120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230364000).

189668120 is an abundant number, since it is smaller than the sum of its proper divisors (271059880).

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

189668120 is a wasteful number, since it uses less digits than its factorization.

189668120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172 (or 7168 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 189668120 is about 13772.0049375536. The cubic root of 189668120 is about 574.5547858008.

The spelling of 189668120 in words is "one hundred eighty-nine million, six hundred sixty-eight thousand, one hundred twenty".