18756 has 18 divisors (see below), whose sum is σ = 47502. Its totient is φ = 6240.

The previous prime is 18749. The next prime is 18757. The reversal of 18756 is 65781.

18756 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 14400 + 4356 = 120^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 18756.

It is not an unprimeable number, because it can be changed into a prime (18757) by changing a digit.

18756 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 225 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (2639).

2¹⁸⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

18756 is an abundant number, since it is smaller than the sum of its proper divisors (28746).

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

18756 is a wasteful number, since it uses less digits than its factorization.

18756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 526 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 18756 is about 136.9525465262. The cubic root of 18756 is about 26.5692976835.

It can be divided in two parts, 1875 and 6, that added together give a palindrome (1881).

The spelling of 18756 in words is "eighteen thousand, seven hundred fifty-six".