323808640 has 128 divisors (see below), whose sum is σ = 842112000. Its totient is φ = 118609920.

The previous prime is 323808637. The next prime is 323808677. The reversal of 323808640 is 46808323.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 323808596 and 323808605.

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, 376531 + ... + 377389.

It is an arithmetic number, because the mean of its divisors is an integer number (6579000).

Almost surely, 2^323808640 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 323808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421056000).

323808640 is an abundant number, since it is smaller than the sum of its proper divisors (518303360).

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

323808640 is a wasteful number, since it uses less digits than its factorization.

323808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 323808640 is about 17994.6836593478. The cubic root of 323808640 is about 686.6933012993.

The spelling of 323808640 in words is "three hundred twenty-three million, eight hundred eight thousand, six hundred forty".