189399168 has 128 divisors (see below), whose sum is σ = 638928000. Its totient is φ = 54107136.

The previous prime is 189399127. The next prime is 189399173. The reversal of 189399168 is 861993981.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20278 + ... + 28106.

It is an arithmetic number, because the mean of its divisors is an integer number (4991625).

Almost surely, 2^189399168 is an apocalyptic number.

189399168 is a gapful number since it is divisible by the number (18) 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 189399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319464000).

189399168 is an abundant number, since it is smaller than the sum of its proper divisors (449528832).

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

189399168 is an equidigital number, since it uses as much as digits as its factorization.

189399168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7859 (or 7841 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The square root of 189399168 is about 13762.2370274603. The cubic root of 189399168 is about 574.2830818070.

The spelling of 189399168 in words is "one hundred eighty-nine million, three hundred ninety-nine thousand, one hundred sixty-eight".