218532320 has 48 divisors (see below), whose sum is σ = 523581408. Its totient is φ = 86177280.

The previous prime is 218532311. The next prime is 218532421. The reversal of 218532320 is 23235812.

It is a self number, because there is not a number n which added to its sum of digits gives 218532320.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1742 + ... + 20978.

It is an arithmetic number, because the mean of its divisors is an integer number (10907946).

Almost surely, 2^218532320 is an apocalyptic number.

218532320 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 218532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261790704).

218532320 is an abundant number, since it is smaller than the sum of its proper divisors (305049088).

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

218532320 is a wasteful number, since it uses less digits than its factorization.

218532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19323 (or 19315 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 218532320 is about 14782.8386989779. The cubic root of 218532320 is about 602.3356369433.

The spelling of 218532320 in words is "two hundred eighteen million, five hundred thirty-two thousand, three hundred twenty".