189834912 has 72 divisors (see below), whose sum is σ = 543213216. Its totient is φ = 62883456.

The previous prime is 189834877. The next prime is 189834929. The reversal of 189834912 is 219438981.

189834912 is a `hidden beast` number, since 1 + 89 + 83 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46123 + ... + 50069.

It is an arithmetic number, because the mean of its divisors is an integer number (7544628).

Almost surely, 2^189834912 is an apocalyptic number.

189834912 is a gapful number since it is divisible by the number (12) 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 189834912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271606608).

189834912 is an abundant number, since it is smaller than the sum of its proper divisors (353378304).

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

189834912 is a wasteful number, since it uses less digits than its factorization.

189834912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4119 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 189834912 is about 13778.0590795656. The cubic root of 189834912 is about 574.7231554502.

The spelling of 189834912 in words is "one hundred eighty-nine million, eight hundred thirty-four thousand, nine hundred twelve".