321891264 has 84 divisors (see below), whose sum is σ = 933898056. Its totient is φ = 105988608.

The previous prime is 321891257. The next prime is 321891301. The reversal of 321891264 is 462198123.

It is a super-2 number, since 2×321891264² = 207227971679035392, which contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44442 + ... + 51174.

It is an arithmetic number, because the mean of its divisors is an integer number (11117834).

Almost surely, 2^321891264 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 321891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466949028).

321891264 is an abundant number, since it is smaller than the sum of its proper divisors (612006792).

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

321891264 is a wasteful number, since it uses less digits than its factorization.

321891264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6834 (or 6821 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 321891264 is about 17941.3283789133. The cubic root of 321891264 is about 685.3352393204.

The spelling of 321891264 in words is "three hundred twenty-one million, eight hundred ninety-one thousand, two hundred sixty-four".