320440120 has 256 divisors, whose sum is σ = 992839680. Its totient is φ = 89856000.

The previous prime is 320440103. The next prime is 320440121. The reversal of 320440120 is 21044023.

It is a super-2 number, since 2×320440120² = 205363741011228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320440094 and 320440103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320440121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2122045 + ... + 2122195.

It is an arithmetic number, because the mean of its divisors is an integer number (3878280).

Almost surely, 2^320440120 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 320440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496419840).

320440120 is an abundant number, since it is smaller than the sum of its proper divisors (672399560).

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

320440120 is a wasteful number, since it uses less digits than its factorization.

320440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 320440120 is about 17900.8413210106. The cubic root of 320440120 is about 684.3038161056.

Adding to 320440120 its reverse (21044023), we get a palindrome (341484143).

The spelling of 320440120 in words is "three hundred twenty million, four hundred forty thousand, one hundred twenty".