189168240 has 80 divisors (see below), whose sum is σ = 587962368. Its totient is φ = 50312448.

The previous prime is 189168193. The next prime is 189168241. The reversal of 189168240 is 42861981.

189168240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189168241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119937 + ... + 121503.

Almost surely, 2^189168240 is an apocalyptic number.

189168240 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 189168240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293981184).

189168240 is an abundant number, since it is smaller than the sum of its proper divisors (398794128).

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

189168240 is a wasteful number, since it uses less digits than its factorization.

189168240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 189168240 is about 13753.8445534331. The cubic root of 189168240 is about 574.0495855702.

The spelling of 189168240 in words is "one hundred eighty-nine million, one hundred sixty-eight thousand, two hundred forty".