189819312 has 80 divisors (see below), whose sum is σ = 502333920. Its totient is φ = 61747200.

The previous prime is 189819307. The next prime is 189819319. The reversal of 189819312 is 213918981.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

Its product of digits (31104) is a multiple of the sum of its prime divisors (576).

It is not an unprimeable number, because it can be changed into a prime (189819319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705514 + ... + 705782.

It is an arithmetic number, because the mean of its divisors is an integer number (6279174).

Almost surely, 2^189819312 is an apocalyptic number.

189819312 is a gapful number since it is divisible by the number (12) 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 189819312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251166960).

189819312 is an abundant number, since it is smaller than the sum of its proper divisors (312514608).

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

189819312 is a wasteful number, since it uses less digits than its factorization.

189819312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 576 counting only the distinct ones).

The product of its digits is 31104, while the sum is 42.

The square root of 189819312 is about 13777.4929504609. The cubic root of 189819312 is about 574.7074120749.

The spelling of 189819312 in words is "one hundred eighty-nine million, eight hundred nineteen thousand, three hundred twelve".