320788224 has 216 divisors, whose sum is σ = 981463392. Its totient is φ = 100638720.

The previous prime is 320788219. The next prime is 320788241. The reversal of 320788224 is 422887023.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 4518109 + ... + 4518179.

It is an arithmetic number, because the mean of its divisors is an integer number (4543812).

Almost surely, 2^320788224 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 320788224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490731696).

320788224 is an abundant number, since it is smaller than the sum of its proper divisors (660675168).

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

320788224 is a wasteful number, since it uses less digits than its factorization.

320788224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 320788224 is about 17910.5618002340. The cubic root of 320788224 is about 684.5515198885.

It can be divided in two parts, 320 and 788224, that added together give a square (788544 = 888²).

The spelling of 320788224 in words is "three hundred twenty million, seven hundred eighty-eight thousand, two hundred twenty-four".