189561168 has 80 divisors (see below), whose sum is σ = 562910400. Its totient is φ = 61004160.

The previous prime is 189561167. The next prime is 189561173. The reversal of 189561168 is 861165981.

189561168 is a `hidden beast` number, since 1 + 89 + 561 + 1 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189561167) 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, 4963 + ... + 20093.

It is an arithmetic number, because the mean of its divisors is an integer number (7036380).

Almost surely, 2^189561168 is an apocalyptic number.

189561168 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 189561168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281455200).

189561168 is an abundant number, since it is smaller than the sum of its proper divisors (373349232).

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

189561168 is a wasteful number, since it uses less digits than its factorization.

189561168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15177 (or 15165 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 189561168 is about 13768.1214404871. The cubic root of 189561168 is about 574.4467702183.

The spelling of 189561168 in words is "one hundred eighty-nine million, five hundred sixty-one thousand, one hundred sixty-eight".