218496 has 32 divisors (see below), whose sum is σ = 581400. Its totient is φ = 72704.

The previous prime is 218479. The next prime is 218509. The reversal of 218496 is 694812.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 12.

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 218496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100 + ... + 668.

2²¹⁸⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290700).

218496 is an abundant number, since it is smaller than the sum of its proper divisors (362904).

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

218496 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (218495) it forms an eRAP, since the sums of their prime factors are consecutive (585 and 586).

218496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 574 counting only the distinct ones).

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

The square root of 218496 is about 467.4355570557. The cubic root of 218496 is about 60.2302265766.

The spelling of 218496 in words is "two hundred eighteen thousand, four hundred ninety-six".