218420 has 24 divisors (see below), whose sum is σ = 468384. Its totient is φ = 85536.

The previous prime is 218419. The next prime is 218423. The reversal of 218420 is 24812.

218420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 218420.

It is not an unprimeable number, because it can be changed into a prime (218423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1259 + ... + 1421.

It is an arithmetic number, because the mean of its divisors is an integer number (19516).

2²¹⁸⁴²⁰ is an apocalyptic number.

218420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218420 is an abundant number, since it is smaller than the sum of its proper divisors (249964).

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

218420 is a wasteful number, since it uses less digits than its factorization.

218420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 218420 is about 467.3542553567. The cubic root of 218420 is about 60.2232424242.

The spelling of 218420 in words is "two hundred eighteen thousand, four hundred twenty".