321223320 has 160 divisors (see below), whose sum is σ = 1177949520. Its totient is φ = 77863680.

The previous prime is 321223297. The next prime is 321223321. The reversal of 321223320 is 23322123.

It is a happy number.

321223320 is a `hidden beast` number, since 321 + 2 + 23 + 320 = 666.

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 = 321223293 and 321223302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321223321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31134 + ... + 40146.

Almost surely, 2^321223320 is an apocalyptic number.

321223320 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 321223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588974760).

321223320 is an abundant number, since it is smaller than the sum of its proper divisors (856726200).

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

321223320 is a wasteful number, since it uses less digits than its factorization.

321223320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9047 (or 9034 counting only the distinct ones).

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

The square root of 321223320 is about 17922.7040370587. The cubic root of 321223320 is about 684.8608735864.

Adding to 321223320 its reverse (23322123), we get a palindrome (344545443).

The spelling of 321223320 in words is "three hundred twenty-one million, two hundred twenty-three thousand, three hundred twenty".