180894 has 32 divisors (see below), whose sum is σ = 426240. Its totient is φ = 50112.

The previous prime is 180883. The next prime is 180907. The reversal of 180894 is 498081.

It is a happy number.

180894 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a plaindrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180894.

It is an unprimeable number.

180894 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 15 ways as a sum of consecutive naturals, for example, 2442 + ... + 2514.

It is an arithmetic number, because the mean of its divisors is an integer number (13320).

2¹⁸⁰⁸⁹⁴ is an apocalyptic number.

180894 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 180894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213120).

180894 is an abundant number, since it is smaller than the sum of its proper divisors (245346).

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

180894 is a wasteful number, since it uses less digits than its factorization.

180894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 180894 is about 425.3163528481. The cubic root of 180894 is about 56.5554836489. Note that the first 3 decimals are identical.

The spelling of 180894 in words is "one hundred eighty thousand, eight hundred ninety-four".