320013504 has 196 divisors, whose sum is σ = 1004991640. Its totient is φ = 101056896.

The previous prime is 320013479. The next prime is 320013509. The reversal of 320013504 is 405310023.

The cubic root of 320013504 is 684.

It is a perfect power (a cube), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (320013509) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 16842807 + ... + 16842825.

Almost surely, 2^320013504 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 320013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502495820).

320013504 is an abundant number, since it is smaller than the sum of its proper divisors (684978136).

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

320013504 is an frugal number, since it uses more digits than its factorization.

320013504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 320013504 is about 17888.9212642909.

Adding to 320013504 its reverse (405310023), we get a palindrome (725323527).

The spelling of 320013504 in words is "three hundred twenty million, thirteen thousand, five hundred four".