189966 has 16 divisors (see below), whose sum is σ = 434304. Its totient is φ = 54264.

The previous prime is 189961. The next prime is 189967. The reversal of 189966 is 669981.

189966 = T₄₄ + T₄₅ + ... + T₁₀₆.

189966 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189961) by changing a digit.

189966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2220 + ... + 2303.

It is an arithmetic number, because the mean of its divisors is an integer number (27144).

2¹⁸⁹⁹⁶⁶ is an apocalyptic number.

189966 is an abundant number, since it is smaller than the sum of its proper divisors (244338).

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

189966 is a wasteful number, since it uses less digits than its factorization.

189966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535.

The product of its digits is 23328, while the sum is 39.

The square root of 189966 is about 435.8508919344. The cubic root of 189966 is about 57.4855414182.

The spelling of 189966 in words is "one hundred eighty-nine thousand, nine hundred sixty-six".