218946 has 32 divisors (see below), whose sum is σ = 540288. Its totient is φ = 57600.

The previous prime is 218941. The next prime is 218947. The reversal of 218946 is 649812.

218946 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 not an unprimeable number, because it can be changed into a prime (218941) by changing a digit.

218946 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 15 ways as a sum of consecutive naturals, for example, 346 + ... + 746.

It is an arithmetic number, because the mean of its divisors is an integer number (16884).

2²¹⁸⁹⁴⁶ is an apocalyptic number.

218946 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 218946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270144).

218946 is an abundant number, since it is smaller than the sum of its proper divisors (321342).

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

218946 is a wasteful number, since it uses less digits than its factorization.

218946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426.

The product of its digits is 3456, while the sum is 30.

The square root of 218946 is about 467.9166592461. The cubic root of 218946 is about 60.2715469612.

The spelling of 218946 in words is "two hundred eighteen thousand, nine hundred forty-six".