189912240 has 240 divisors, whose sum is σ = 744744000. Its totient is φ = 43352064.

The previous prime is 189912223. The next prime is 189912251. The reversal of 189912240 is 42219981.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 189912195 and 189912204.

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 47 ways as a sum of consecutive naturals, for example, 246576 + ... + 247344.

It is an arithmetic number, because the mean of its divisors is an integer number (3103100).

Almost surely, 2^189912240 is an apocalyptic number.

189912240 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 189912240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372372000).

189912240 is an abundant number, since it is smaller than the sum of its proper divisors (554831760).

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

189912240 is a wasteful number, since it uses less digits than its factorization.

189912240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 189912240 is about 13780.8649946221. The cubic root of 189912240 is about 574.8011814197.

The spelling of 189912240 in words is "one hundred eighty-nine million, nine hundred twelve thousand, two hundred forty".