218040 has 64 divisors (see below), whose sum is σ = 691200. Its totient is φ = 54912.

The previous prime is 218021. The next prime is 218047. The reversal of 218040 is 40812.

218040 = T₃₉ + T₄₀ + ... + T₁₁₀.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2721 + ... + 2799.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2²¹⁸⁰⁴⁰ is an apocalyptic number.

218040 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 218040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345600).

218040 is an abundant number, since it is smaller than the sum of its proper divisors (473160).

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

218040 is a wasteful number, since it uses less digits than its factorization.

218040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 218040 is about 466.9475345261. The cubic root of 218040 is about 60.1882973393.

Adding to 218040 its reverse (40812), we get a palindrome (258852).

The spelling of 218040 in words is "two hundred eighteen thousand, forty".