189854160 has 80 divisors (see below), whose sum is σ = 590259840. Its totient is φ = 50480640.

The previous prime is 189854131. The next prime is 189854183. The reversal of 189854160 is 61458981.

189854160 is digitally balanced in base 3, 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 hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 100101 + ... + 101979.

It is an arithmetic number, because the mean of its divisors is an integer number (7378248).

Almost surely, 2^189854160 is an apocalyptic number.

189854160 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 189854160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295129920).

189854160 is an abundant number, since it is smaller than the sum of its proper divisors (400405680).

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

189854160 is a wasteful number, since it uses less digits than its factorization.

189854160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 189854160 is about 13778.7575637283. The cubic root of 189854160 is about 574.7425791648.

The spelling of 189854160 in words is "one hundred eighty-nine million, eight hundred fifty-four thousand, one hundred sixty".