18726 has 8 divisors (see below), whose sum is σ = 37464. Its totient is φ = 6240.

The previous prime is 18719. The next prime is 18731. The reversal of 18726 is 62781.

18726 is nontrivially palindromic in base 5.

It is a sphenic number, since it is the product of 3 distinct primes.

18726 is an admirable number.

It is a plaindrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 18696 and 18705.

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 18726.

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, 1555 + ... + 1566.

It is an arithmetic number, because the mean of its divisors is an integer number (4683).

2¹⁸⁷²⁶ is an apocalyptic number.

18726 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (18732).

18726 is a wasteful number, since it uses less digits than its factorization.

18726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126.

The product of its digits is 672, while the sum is 24.

The square root of 18726 is about 136.8429757057. The cubic root of 18726 is about 26.5551243651. Note that the first 3 decimals are identical.

The spelling of 18726 in words is "eighteen thousand, seven hundred twenty-six".