189580314 has 144 divisors (see below), whose sum is σ = 505333728. Its totient is φ = 46872000.

The previous prime is 189580291. The next prime is 189580357. The reversal of 189580314 is 413085981.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3107844 + ... + 3107904.

It is an arithmetic number, because the mean of its divisors is an integer number (3509262).

Almost surely, 2^189580314 is an apocalyptic number.

189580314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189580314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252666864).

189580314 is an abundant number, since it is smaller than the sum of its proper divisors (315753414).

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

189580314 is a wasteful number, since it uses less digits than its factorization.

189580314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 189580314 is about 13768.8167247589. The cubic root of 189580314 is about 574.4661096005.

It can be divided in two parts, 189 and 580314, that added together give a triangular number (580503 = T₁₀₇₇).

The spelling of 189580314 in words is "one hundred eighty-nine million, five hundred eighty thousand, three hundred fourteen".