218656768 has 104 divisors (see below), whose sum is σ = 500109696. Its totient is φ = 94617600.

The previous prime is 218656709. The next prime is 218656787. The reversal of 218656768 is 867656812.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1036183 + ... + 1036393.

Almost surely, 2^218656768 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 218656768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250054848).

218656768 is an abundant number, since it is smaller than the sum of its proper divisors (281452928).

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

218656768 is a wasteful number, since it uses less digits than its factorization.

218656768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 247 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

The square root of 218656768 is about 14787.0473049896. The cubic root of 218656768 is about 602.4499529718.

The spelling of 218656768 in words is "two hundred eighteen million, six hundred fifty-six thousand, seven hundred sixty-eight".