218434320 has 200 divisors, whose sum is σ = 817327896. Its totient is φ = 53747712.

The previous prime is 218434303. The next prime is 218434331. The reversal of 218434320 is 23434812.

It can be written as a sum of positive squares in 4 ways, for example, as 6906384 + 211527936 = 2628^2 + 14544^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82944 + ... + 85536.

Almost surely, 2^218434320 is an apocalyptic number.

218434320 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 218434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408663948).

218434320 is an abundant number, since it is smaller than the sum of its proper divisors (598893576).

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

218434320 is a wasteful number, since it uses less digits than its factorization.

218434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 218434320 is about 14779.5236729740. The cubic root of 218434320 is about 602.2455850944.

The spelling of 218434320 in words is "two hundred eighteen million, four hundred thirty-four thousand, three hundred twenty".