321322320 has 240 divisors, whose sum is σ = 1218672000. Its totient is φ = 75156480.

The previous prime is 321322303. The next prime is 321322327. The reversal of 321322320 is 23223123.

It is a happy number.

321322320 is a `hidden beast` number, since 3 + 21 + 322 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 321322293 and 321322302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321322327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228981 + ... + 230379.

It is an arithmetic number, because the mean of its divisors is an integer number (5077800).

Almost surely, 2^321322320 is an apocalyptic number.

321322320 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 321322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336000).

321322320 is an abundant number, since it is smaller than the sum of its proper divisors (897349680).

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

321322320 is a wasteful number, since it uses less digits than its factorization.

321322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 321322320 is about 17925.4656843274. The cubic root of 321322320 is about 684.9312236701.

Adding to 321322320 its reverse (23223123), we get a palindrome (344545443).

The spelling of 321322320 in words is "three hundred twenty-one million, three hundred twenty-two thousand, three hundred twenty".