18846 has 16 divisors (see below), whose sum is σ = 42000. Its totient is φ = 6264.

The previous prime is 18839. The next prime is 18859. The reversal of 18846 is 64881.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

18846 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, 121 + ... + 228.

It is an arithmetic number, because the mean of its divisors is an integer number (2625).

2¹⁸⁸⁴⁶ is an apocalyptic number.

18846 is an abundant number, since it is smaller than the sum of its proper divisors (23154).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21000).

18846 is a wasteful number, since it uses less digits than its factorization.

18846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 18846 is about 137.2807342638. The cubic root of 18846 is about 26.6117271674.

The spelling of 18846 in words is "eighteen thousand, eight hundred forty-six".