218940 has 48 divisors (see below), whose sum is σ = 635040. Its totient is φ = 56320.

The previous prime is 218923. The next prime is 218941. The reversal of 218940 is 49812.

It is a self number, because there is not a number n which added to its sum of digits gives 218940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2416 + ... + 2504.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2²¹⁸⁹⁴⁰ is an apocalyptic number.

218940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

218940 is an abundant number, since it is smaller than the sum of its proper divisors (416100).

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

218940 is a wasteful number, since it uses less digits than its factorization.

218940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 218940 is about 467.9102478040. The cubic root of 218940 is about 60.2709963954.

The spelling of 218940 in words is "two hundred eighteen thousand, nine hundred forty".