189121824 has 192 divisors, whose sum is σ = 596090880. Its totient is φ = 58164480.

The previous prime is 189121811. The next prime is 189121841. The reversal of 189121824 is 428121981.

It is a happy number.

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

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615879 + ... + 616185.

It is an arithmetic number, because the mean of its divisors is an integer number (3104640).

Almost surely, 2^189121824 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 189121824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298045440).

189121824 is an abundant number, since it is smaller than the sum of its proper divisors (406969056).

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

189121824 is a wasteful number, since it uses less digits than its factorization.

189121824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 189121824 is about 13752.1570671659. The cubic root of 189121824 is about 574.0026304274.

It can be divided in two parts, 18912 and 1824, that added together give a 4-th power (20736 = 12⁴).

The spelling of 189121824 in words is "one hundred eighty-nine million, one hundred twenty-one thousand, eight hundred twenty-four".