18340 has 24 divisors (see below), whose sum is σ = 44352. Its totient is φ = 6240.

The previous prime is 18329. The next prime is 18341. The reversal of 18340 is 4381.

18340 = T₈ + T₉ + ... + T₄₇.

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (18341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75 + ... + 205.

It is an arithmetic number, because the mean of its divisors is an integer number (1848).

2¹⁸³⁴⁰ is an apocalyptic number.

18340 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 18340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22176).

18340 is an abundant number, since it is smaller than the sum of its proper divisors (26012).

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

18340 is a wasteful number, since it uses less digits than its factorization.

18340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 18340 is about 135.4252561378. The cubic root of 18340 is about 26.3713954030.

The spelling of 18340 in words is "eighteen thousand, three hundred forty".