320559120 has 400 divisors, whose sum is σ = 1313630208. Its totient is φ = 70917120.

The previous prime is 320559091. The next prime is 320559121. The reversal of 320559120 is 21955023.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (320559121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1678225 + ... + 1678415.

Almost surely, 2^320559120 is an apocalyptic number.

320559120 is a gapful number since it is divisible by the number (30) 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 320559120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656815104).

320559120 is an abundant number, since it is smaller than the sum of its proper divisors (993071088).

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

320559120 is a wasteful number, since it uses less digits than its factorization.

320559120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 320559120 is about 17904.1648785974. The cubic root of 320559120 is about 684.3885142762.

The spelling of 320559120 in words is "three hundred twenty million, five hundred fifty-nine thousand, one hundred twenty".