321318880 has 72 divisors (see below), whose sum is σ = 801316152. Its totient is φ = 121741056.

The previous prime is 321318871. The next prime is 321318889. The reversal of 321318880 is 88813123.

It is an interprime number because it is at equal distance from previous prime (321318871) and next prime (321318889).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321318889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54979 + ... + 60541.

It is an arithmetic number, because the mean of its divisors is an integer number (11129391).

Almost surely, 2^321318880 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 321318880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400658076).

321318880 is an abundant number, since it is smaller than the sum of its proper divisors (479997272).

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

321318880 is a wasteful number, since it uses less digits than its factorization.

321318880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5616 (or 5589 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 321318880 is about 17925.3697311938. The cubic root of 321318880 is about 684.9287794247.

The spelling of 321318880 in words is "three hundred twenty-one million, three hundred eighteen thousand, eight hundred eighty".