321411216 has 80 divisors (see below), whose sum is σ = 951526400. Its totient is φ = 91580544.

The previous prime is 321411203. The next prime is 321411227. The reversal of 321411216 is 612114123.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 321411192 and 321411201.

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, 146415 + ... + 148593.

It is an arithmetic number, because the mean of its divisors is an integer number (11894080).

Almost surely, 2^321411216 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 321411216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475763200).

321411216 is an abundant number, since it is smaller than the sum of its proper divisors (630115184).

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

321411216 is a wasteful number, since it uses less digits than its factorization.

321411216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2630 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 321411216 is about 17927.9451137045. The cubic root of 321411216 is about 684.9943814695.

Adding to 321411216 its reverse (612114123), we get a palindrome (933525339).

The spelling of 321411216 in words is "three hundred twenty-one million, four hundred eleven thousand, two hundred sixteen".