321130320 has 320 divisors, whose sum is σ = 1199923200. Its totient is φ = 70973952.

The previous prime is 321130319. The next prime is 321130349. The reversal of 321130320 is 23031123.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 321130320.

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 63 ways as a sum of consecutive naturals, for example, 3868999 + ... + 3869081.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^321130320 is an apocalyptic number.

321130320 is a gapful number since it is divisible by the number (30) 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 321130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599961600).

321130320 is an abundant number, since it is smaller than the sum of its proper divisors (878792880).

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

321130320 is a wasteful number, since it uses less digits than its factorization.

321130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 321130320 is about 17920.1093746662. The cubic root of 321130320 is about 684.7947739760.

Adding to 321130320 its reverse (23031123), we get a palindrome (344161443).

The spelling of 321130320 in words is "three hundred twenty-one million, one hundred thirty thousand, three hundred twenty".