189444960 has 96 divisors (see below), whose sum is σ = 663072480. Its totient is φ = 50517504.

The previous prime is 189444947. The next prime is 189445019. The reversal of 189444960 is 69444981.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 17607 + ... + 26246.

It is an arithmetic number, because the mean of its divisors is an integer number (6907005).

Almost surely, 2^189444960 is an apocalyptic number.

189444960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189444960 is an abundant number, since it is smaller than the sum of its proper divisors (473627520).

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

189444960 is a wasteful number, since it uses less digits than its factorization.

189444960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43877 (or 43863 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 189444960 is about 13763.9006099289. The cubic root of 189444960 is about 574.3293605245.

The spelling of 189444960 in words is "one hundred eighty-nine million, four hundred forty-four thousand, nine hundred sixty".