189982944 has 216 divisors, whose sum is σ = 597837240. Its totient is φ = 57125376.

The previous prime is 189982907. The next prime is 189982963. The reversal of 189982944 is 449289981.

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 4418187 + ... + 4418229.

It is an arithmetic number, because the mean of its divisors is an integer number (2767765).

Almost surely, 2^189982944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189982944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298918620).

189982944 is an abundant number, since it is smaller than the sum of its proper divisors (407854296).

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

189982944 is a wasteful number, since it uses less digits than its factorization.

189982944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 100 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 189982944 is about 13783.4300520589. The cubic root of 189982944 is about 574.8725050659.

The spelling of 189982944 in words is "one hundred eighty-nine million, nine hundred eighty-two thousand, nine hundred forty-four".