189840000 has 320 divisors, whose sum is σ = 726517440. Its totient is φ = 43008000.

The previous prime is 189839983. The next prime is 189840019. The reversal of 189840000 is 48981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 189840000.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1130 × 150 × 1120.

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 39 ways as a sum of consecutive naturals, for example, 1679944 + ... + 1680056.

It is an arithmetic number, because the mean of its divisors is an integer number (2270367).

Almost surely, 2^189840000 is an apocalyptic number.

189840000 is a gapful number since it is divisible by the number (10) 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 189840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363258720).

189840000 is an abundant number, since it is smaller than the sum of its proper divisors (536677440).

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

189840000 is an equidigital number, since it uses as much as digits as its factorization.

189840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 189840000 is about 13778.2437197199. The cubic root of 189840000 is about 574.7282900261.

Adding to 189840000 its reverse (48981), we get a palindrome (189888981).

It can be divided in two parts, 189 and 840000, that multiplied together give a square (158760000 = 12600²).

The spelling of 189840000 in words is "one hundred eighty-nine million, eight hundred forty thousand".