320863104 has 96 divisors (see below), whose sum is σ = 928200000. Its totient is φ = 106389504.

The previous prime is 320863073. The next prime is 320863139. The reversal of 320863104 is 401368023.

It is a happy number.

320863104 is a `hidden beast` number, since 3 + 20 + 8 + 631 + 0 + 4 = 666.

320863104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256272 + ... + 257520.

It is an arithmetic number, because the mean of its divisors is an integer number (9668750).

Almost surely, 2^320863104 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 320863104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464100000).

320863104 is an abundant number, since it is smaller than the sum of its proper divisors (607336896).

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

320863104 is a wasteful number, since it uses less digits than its factorization.

320863104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 320863104 is about 17912.6520649512. The cubic root of 320863104 is about 684.6047795637.

The spelling of 320863104 in words is "three hundred twenty million, eight hundred sixty-three thousand, one hundred four".