189213360 has 240 divisors, whose sum is σ = 697360128. Its totient is φ = 41564160.

The previous prime is 189213359. The next prime is 189213361. The reversal of 189213360 is 63312981.

It is an interprime number because it is at equal distance from previous prime (189213359) and next prime (189213361).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (189213361) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2824047 + ... + 2824113.

Almost surely, 2^189213360 is an apocalyptic number.

189213360 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 189213360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348680064).

189213360 is an abundant number, since it is smaller than the sum of its proper divisors (508146768).

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

189213360 is a wasteful number, since it uses less digits than its factorization.

189213360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 189213360 is about 13755.4847242836. The cubic root of 189213360 is about 574.0952222977.

The spelling of 189213360 in words is "one hundred eighty-nine million, two hundred thirteen thousand, three hundred sixty".