321113268 has 72 divisors (see below), whose sum is σ = 968452800. Its totient is φ = 91745136.

The previous prime is 321113263. The next prime is 321113279. The reversal of 321113268 is 862311123.

It is a happy number.

321113268 is a `hidden beast` number, since 321 + 11 + 326 + 8 = 666.

It is a super-3 number, since 3×321113268³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321113263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25048 + ... + 35631.

Almost surely, 2^321113268 is an apocalyptic number.

It is an amenable number.

321113268 is an abundant number, since it is smaller than the sum of its proper divisors (647339532).

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

321113268 is a wasteful number, since it uses less digits than its factorization.

321113268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60706 (or 60691 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 321113268 is about 17919.6335900040. The cubic root of 321113268 is about 684.7826529082.

The spelling of 321113268 in words is "three hundred twenty-one million, one hundred thirteen thousand, two hundred sixty-eight".