189921024 has 216 divisors, whose sum is σ = 589260672. Its totient is φ = 60963840.

The previous prime is 189921019. The next prime is 189921047. The reversal of 189921024 is 420129981.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 189921024.

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 23 ways as a sum of consecutive naturals, for example, 2674909 + ... + 2674979.

Almost surely, 2^189921024 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 189921024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294630336).

189921024 is an abundant number, since it is smaller than the sum of its proper divisors (399339648).

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

189921024 is an frugal number, since it uses more digits than its factorization.

189921024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

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

The square root of 189921024 is about 13781.1836937180. The cubic root of 189921024 is about 574.8100433651.

The spelling of 189921024 in words is "one hundred eighty-nine million, nine hundred twenty-one thousand, twenty-four".