218326240 has 96 divisors (see below), whose sum is σ = 595867104. Its totient is φ = 74711040.

The previous prime is 218326201. The next prime is 218326243. The reversal of 218326240 is 42623812.

It is a junction number, because it is equal to n+sod(n) for n = 218326199 and 218326208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218326243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26272 + ... + 33568.

It is an arithmetic number, because the mean of its divisors is an integer number (6206949).

Almost surely, 2^218326240 is an apocalyptic number.

218326240 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 218326240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297933552).

218326240 is an abundant number, since it is smaller than the sum of its proper divisors (377540864).

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

218326240 is a wasteful number, since it uses less digits than its factorization.

218326240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7340 (or 7332 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 218326240 is about 14775.8668104447. The cubic root of 218326240 is about 602.1462395317.

The spelling of 218326240 in words is "two hundred eighteen million, three hundred twenty-six thousand, two hundred forty".