18760 has 32 divisors (see below), whose sum is σ = 48960. Its totient is φ = 6336.

The previous prime is 18757. The next prime is 18773. The reversal of 18760 is 6781.

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, 247 + ... + 313.

It is an arithmetic number, because the mean of its divisors is an integer number (1530).

2¹⁸⁷⁶⁰ is an apocalyptic number.

18760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18760 is the 112-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24480).

18760 is an abundant number, since it is smaller than the sum of its proper divisors (30200).

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

18760 is a wasteful number, since it uses less digits than its factorization.

18760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 18760 is about 136.9671493461. The cubic root of 18760 is about 26.5711863172.

The spelling of 18760 in words is "eighteen thousand, seven hundred sixty".