321925968 has 320 divisors, whose sum is σ = 1199923200. Its totient is φ = 80248320.

The previous prime is 321925943. The next prime is 321925969. The reversal of 321925968 is 869529123.

321925968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321925969) 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 63 ways as a sum of consecutive naturals, for example, 746713 + ... + 747143.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^321925968 is an apocalyptic number.

321925968 is a gapful number since it is divisible by the number (38) 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 321925968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599961600).

321925968 is an abundant number, since it is smaller than the sum of its proper divisors (877997232).

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

321925968 is a wasteful number, since it uses less digits than its factorization.

321925968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 475 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 321925968 is about 17942.2955053137. The cubic root of 321925968 is about 685.3598677401.

The spelling of 321925968 in words is "three hundred twenty-one million, nine hundred twenty-five thousand, nine hundred sixty-eight".