321984960 has 112 divisors (see below), whose sum is σ = 1115275392. Its totient is φ = 78054400.

The previous prime is 321984959. The next prime is 321984967. The reversal of 321984960 is 69489123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321984967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4686 + ... + 25805.

It is an arithmetic number, because the mean of its divisors is an integer number (9957816).

Almost surely, 2^321984960 is an apocalyptic number.

321984960 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 321984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557637696).

321984960 is an abundant number, since it is smaller than the sum of its proper divisors (793290432).

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

321984960 is a wasteful number, since it uses less digits than its factorization.

321984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30522 (or 30512 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 321984960 is about 17943.9393668169. The cubic root of 321984960 is about 685.4017285860.

The spelling of 321984960 in words is "three hundred twenty-one million, nine hundred eighty-four thousand, nine hundred sixty".