218748 has 12 divisors (see below), whose sum is σ = 510440. Its totient is φ = 72912.

The previous prime is 218737. The next prime is 218749. The reversal of 218748 is 847812.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 218748.

It is not an unprimeable number, because it can be changed into a prime (218749) by changing a digit.

218748 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 9103 + ... + 9126.

2²¹⁸⁷⁴⁸ is an apocalyptic number.

It is an amenable number.

218748 is an abundant number, since it is smaller than the sum of its proper divisors (291692).

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

218748 is a wasteful number, since it uses less digits than its factorization.

218748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18236 (or 18234 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 218748 is about 467.7050352519. The cubic root of 218748 is about 60.2533729739.

It can be divided in two parts, 2187 and 48, that multiplied together give a 4-th power (104976 = 18⁴).

The spelling of 218748 in words is "two hundred eighteen thousand, seven hundred forty-eight".