218848 has 24 divisors (see below), whose sum is σ = 492912. Its totient is φ = 93696.

The previous prime is 218843. The next prime is 218849. The reversal of 218848 is 848812.

218848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218843) by changing a digit.

218848 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, 265 + ... + 712.

It is an arithmetic number, because the mean of its divisors is an integer number (20538).

2²¹⁸⁸⁴⁸ is an apocalyptic number.

218848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

218848 is an abundant number, since it is smaller than the sum of its proper divisors (274064).

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

218848 is an equidigital number, since it uses as much as digits as its factorization.

218848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 986 counting only the distinct ones).

The product of its digits is 4096, while the sum is 31.

The square root of 218848 is about 467.8119280224. The cubic root of 218848 is about 60.2625531255.

The spelling of 218848 in words is "two hundred eighteen thousand, eight hundred forty-eight".