218340 has 36 divisors (see below), whose sum is σ = 662844. Its totient is φ = 58176.

The previous prime is 218287. The next prime is 218357. The reversal of 218340 is 43812.

It is a happy number.

218340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 181476 = 192^2 + 426^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427 + ... + 786.

2²¹⁸³⁴⁰ is an apocalyptic number.

218340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218340 is an abundant number, since it is smaller than the sum of its proper divisors (444504).

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

218340 is a wasteful number, since it uses less digits than its factorization.

218340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 218340 is about 467.2686593385. The cubic root of 218340 is about 60.2158889345.

The spelling of 218340 in words is "two hundred eighteen thousand, three hundred forty".