321218560 has 192 divisors, whose sum is σ = 880588800. Its totient is φ = 111476736.

The previous prime is 321218551. The next prime is 321218591. The reversal of 321218560 is 65812123.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2529217 + ... + 2529343.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^321218560 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 321218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

321218560 is an abundant number, since it is smaller than the sum of its proper divisors (559370240).

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

321218560 is a wasteful number, since it uses less digits than its factorization.

321218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 321218560 is about 17922.5712441045. The cubic root of 321218560 is about 684.8574907334.

The spelling of 321218560 in words is "three hundred twenty-one million, two hundred eighteen thousand, five hundred sixty".