218980 has 12 divisors (see below), whose sum is σ = 459900. Its totient is φ = 87584.

The previous prime is 218971. The next prime is 218987. The reversal of 218980 is 89812.

218980 = T₈₄ + T₈₅ + ... + T₁₂₃.

It can be written as a sum of positive squares in 2 ways, for example, as 39204 + 179776 = 198^2 + 424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218987) by changing a digit.

218980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5455 + ... + 5494.

It is an arithmetic number, because the mean of its divisors is an integer number (38325).

2²¹⁸⁹⁸⁰ is an apocalyptic number.

218980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218980 is an abundant number, since it is smaller than the sum of its proper divisors (240920).

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

218980 is a wasteful number, since it uses less digits than its factorization.

218980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10958 (or 10956 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 218980 is about 467.9529890919. The cubic root of 218980 is about 60.2746666445.

The spelling of 218980 in words is "two hundred eighteen thousand, nine hundred eighty".