18270 has 48 divisors (see below), whose sum is σ = 56160. Its totient is φ = 4032.

The previous prime is 18269. The next prime is 18287. The reversal of 18270 is 7281.

18270 = T₂₀ + T₂₁ + ... + T₄₈.

It is a Harshad number since it is a multiple of its sum of digits (18).

18270 is an undulating number in base 12.

It is a Curzon number.

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616 + ... + 644.

It is an arithmetic number, because the mean of its divisors is an integer number (1170).

18270 is a Friedman number, since it can be written as 870*21, using all its digits and the basic arithmetic operations.

2¹⁸²⁷⁰ is an apocalyptic number.

18270 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 18270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28080).

18270 is an abundant number, since it is smaller than the sum of its proper divisors (37890).

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

18270 is a wasteful number, since it uses less digits than its factorization.

18270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 18270 is about 135.1665639128. The cubic root of 18270 is about 26.3378012323.

It can be divided in two parts, 182 and 70, that added together give a palindrome (252).

The spelling of 18270 in words is "eighteen thousand, two hundred seventy".