18870 has 32 divisors (see below), whose sum is σ = 49248. Its totient is φ = 4608.

The previous prime is 18869. The next prime is 18899. The reversal of 18870 is 7881.

18870 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

18870 is an undulating number in base 13.

It is a plaindrome in base 8.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 18870.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492 + ... + 528.

It is an arithmetic number, because the mean of its divisors is an integer number (1539).

2¹⁸⁸⁷⁰ is an apocalyptic number.

18870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24624).

18870 is an abundant number, since it is smaller than the sum of its proper divisors (30378).

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

18870 is a wasteful number, since it uses less digits than its factorization.

18870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64.

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 18870 is about 137.3681185720. The cubic root of 18870 is about 26.6230188744.

It can be divided in two parts, 18 and 870, that added together give a palindrome (888).

The spelling of 18870 in words is "eighteen thousand, eight hundred seventy".