18380 has 12 divisors (see below), whose sum is σ = 38640. Its totient is φ = 7344.

The previous prime is 18379. The next prime is 18397. The reversal of 18380 is 8381.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 919 = 18380 / (1 + 8 + 3 + 8 + 0).

It is a plaindrome in base 11, base 14 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 440 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (3220).

2¹⁸³⁸⁰ is an apocalyptic number.

18380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18380 is an abundant number, since it is smaller than the sum of its proper divisors (20260).

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 (19320).

18380 is a wasteful number, since it uses less digits than its factorization.

18380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 18380 is about 135.5728586407. The cubic root of 18380 is about 26.3905537064.

18380 divided by its sum of digits (20) gives a palindrome (919).

Subtracting from 18380 its reverse (8381), we obtain a palindrome (9999).

The spelling of 18380 in words is "eighteen thousand, three hundred eighty".