320509120 has 56 divisors (see below), whose sum is σ = 764767584. Its totient is φ = 127942656.

The previous prime is 320509099. The next prime is 320509129. The reversal of 320509120 is 21905023.

It is a junction number, because it is equal to n+sod(n) for n = 320509091 and 320509100.

It is not an unprimeable number, because it can be changed into a prime (320509129) 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 7 ways as a sum of consecutive naturals, for example, 262752 + ... + 263968.

It is an arithmetic number, because the mean of its divisors is an integer number (13656564).

Almost surely, 2^320509120 is an apocalyptic number.

It is an amenable number.

320509120 is an abundant number, since it is smaller than the sum of its proper divisors (444258464).

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

320509120 is a wasteful number, since it uses less digits than its factorization.

320509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 320509120 is about 17902.7685009889. The cubic root of 320509120 is about 684.3529293634.

The spelling of 320509120 in words is "three hundred twenty million, five hundred nine thousand, one hundred twenty".