321076672 has 112 divisors (see below), whose sum is σ = 765982720. Its totient is φ = 130636800.

The previous prime is 321076669. The next prime is 321076681. The reversal of 321076672 is 276670123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 321076672 = 188³ + 680³ = 314³ + 662³.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846979 + ... + 847357.

Almost surely, 2^321076672 is an apocalyptic number.

321076672 is a gapful number since it is divisible by the number (32) 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 321076672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382991360).

321076672 is an abundant number, since it is smaller than the sum of its proper divisors (444906048).

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

321076672 is a wasteful number, since it uses less digits than its factorization.

321076672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 321076672 is about 17918.6124462805. The cubic root of 321076672 is about 684.7566379362.

The spelling of 321076672 in words is "three hundred twenty-one million, seventy-six thousand, six hundred seventy-two".