189820904 has 72 divisors (see below), whose sum is σ = 448192710. Its totient is φ = 74704896.

The previous prime is 189820867. The next prime is 189820913. The reversal of 189820904 is 409028981.

It can be written as a sum of positive squares in 3 ways, for example, as 81036004 + 108784900 = 9002^2 + 10430^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 983432 + ... + 983624.

Almost surely, 2^189820904 is an apocalyptic number.

189820904 is a gapful number since it is divisible by the number (14) 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 189820904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224096355).

189820904 is an abundant number, since it is smaller than the sum of its proper divisors (258371806).

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

189820904 is a wasteful number, since it uses less digits than its factorization.

189820904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 189820904 is about 13777.5507257277. The cubic root of 189820904 is about 574.7090187460.

The spelling of 189820904 in words is "one hundred eighty-nine million, eight hundred twenty thousand, nine hundred four".