18980 has 24 divisors (see below), whose sum is σ = 43512. Its totient is φ = 6912.

The previous prime is 18979. The next prime is 19001. The reversal of 18980 is 8981.

18980 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 4 ways, for example, as 484 + 18496 = 22^2 + 136^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 13.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (1813).

2¹⁸⁹⁸⁰ is an apocalyptic number.

18980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21756).

18980 is an abundant number, since it is smaller than the sum of its proper divisors (24532).

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

18980 is a wasteful number, since it uses less digits than its factorization.

18980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 18980 is about 137.7679207944. The cubic root of 18980 is about 26.6746503873.

Subtracting from 18980 its reverse (8981), we obtain a palindrome (9999).

The spelling of 18980 in words is "eighteen thousand, nine hundred eighty".