189320000 has 70 divisors (see below), whose sum is σ = 469551258. Its totient is φ = 75712000.

The previous prime is 189319997. The next prime is 189320003. The reversal of 189320000 is 23981.

It is an interprime number because it is at equal distance from previous prime (189319997) and next prime (189320003).

It can be written as a sum of positive squares in 5 ways, for example, as 107163904 + 82156096 = 10352^2 + 9064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189320003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 37634 + ... + 42366.

Almost surely, 2^189320000 is an apocalyptic number.

189320000 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 189320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234775629).

189320000 is an abundant number, since it is smaller than the sum of its proper divisors (280231258).

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

189320000 is an frugal number, since it uses more digits than its factorization.

189320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 189320000 is about 13759.3604502535. The cubic root of 189320000 is about 574.2030547409.

Adding to 189320000 its reverse (23981), we get a palindrome (189343981).

The spelling of 189320000 in words is "one hundred eighty-nine million, three hundred twenty thousand".