218868336 has 120 divisors (see below), whose sum is σ = 671140080. Its totient is φ = 66275328.

The previous prime is 218868329. The next prime is 218868341. The reversal of 218868336 is 633868812.

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

It is a junction number, because it is equal to n+sod(n) for n = 218868291 and 218868300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69451 + ... + 72533.

It is an arithmetic number, because the mean of its divisors is an integer number (5592834).

Almost surely, 2^218868336 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 218868336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335570040).

218868336 is an abundant number, since it is smaller than the sum of its proper divisors (452271744).

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

218868336 is a wasteful number, since it uses less digits than its factorization.

218868336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3134 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 218868336 is about 14794.1994038204. The cubic root of 218868336 is about 602.6441965892.

The spelling of 218868336 in words is "two hundred eighteen million, eight hundred sixty-eight thousand, three hundred thirty-six".