189075824 has 80 divisors (see below), whose sum is σ = 452113920. Its totient is φ = 74807040.

The previous prime is 189075793. The next prime is 189075839. The reversal of 189075824 is 428570981.

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 15 ways as a sum of consecutive naturals, for example, 73439 + ... + 75969.

It is an arithmetic number, because the mean of its divisors is an integer number (5651424).

Almost surely, 2^189075824 is an apocalyptic number.

189075824 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 189075824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226056960).

189075824 is an abundant number, since it is smaller than the sum of its proper divisors (263038096).

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

189075824 is a wasteful number, since it uses less digits than its factorization.

189075824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The square root of 189075824 is about 13750.4845005549. The cubic root of 189075824 is about 573.9560885362.

The spelling of 189075824 in words is "one hundred eighty-nine million, seventy-five thousand, eight hundred twenty-four".