218214720 has 168 divisors, whose sum is σ = 794897064. Its totient is φ = 54755328.

The previous prime is 218214709. The next prime is 218214721. The reversal of 218214720 is 27412812.

218214720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 64256256 + 153958464 = 8016^2 + 12408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218214721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46732 + ... + 51188.

Almost surely, 2^218214720 is an apocalyptic number.

218214720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397448532).

218214720 is an abundant number, since it is smaller than the sum of its proper divisors (576682344).

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

218214720 is a wasteful number, since it uses less digits than its factorization.

218214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 218214720 is about 14772.0926073458. The cubic root of 218214720 is about 602.0436975966.

The spelling of 218214720 in words is "two hundred eighteen million, two hundred fourteen thousand, seven hundred twenty".