321668928 has 336 divisors, whose sum is σ = 1146657600. Its totient is φ = 88058880.

The previous prime is 321668891. The next prime is 321668933. The reversal of 321668928 is 829866123.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2455423 + ... + 2455553.

Almost surely, 2^321668928 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 321668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573328800).

321668928 is an abundant number, since it is smaller than the sum of its proper divisors (824988672).

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

321668928 is a wasteful number, since it uses less digits than its factorization.

321668928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 321668928 is about 17935.1311118709. The cubic root of 321668928 is about 685.1774119121.

The spelling of 321668928 in words is "three hundred twenty-one million, six hundred sixty-eight thousand, nine hundred twenty-eight".