321365268 has 72 divisors (see below), whose sum is σ = 938030912. Its totient is φ = 90865152.

The previous prime is 321365227. The next prime is 321365279. The reversal of 321365268 is 862563123.

It is a happy number.

321365268 is a `hidden beast` number, since 32 + 1 + 365 + 268 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17871 + ... + 31017.

Almost surely, 2^321365268 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 321365268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469015456).

321365268 is an abundant number, since it is smaller than the sum of its proper divisors (616665644).

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

321365268 is a wasteful number, since it uses less digits than its factorization.

321365268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13261 (or 13256 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 321365268 is about 17926.6636048095. The cubic root of 321365268 is about 684.9617383214.

The spelling of 321365268 in words is "three hundred twenty-one million, three hundred sixty-five thousand, two hundred sixty-eight".