321673968 has 240 divisors, whose sum is σ = 1141760256. Its totient is φ = 82114560.

The previous prime is 321673909. The next prime is 321673973. The reversal of 321673968 is 869376123.

321673968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 742680 + ... + 743112.

Almost surely, 2^321673968 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 321673968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570880128).

321673968 is an abundant number, since it is smaller than the sum of its proper divisors (820086288).

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

321673968 is a wasteful number, since it uses less digits than its factorization.

321673968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 523 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 321673968 is about 17935.2716176812. The cubic root of 321673968 is about 685.1809904114.

The spelling of 321673968 in words is "three hundred twenty-one million, six hundred seventy-three thousand, nine hundred sixty-eight".