320307120 has 240 divisors, whose sum is σ = 1255425600. Its totient is φ = 73156608.

The previous prime is 320307107. The next prime is 320307133. The reversal of 320307120 is 21703023.

It is an interprime number because it is at equal distance from previous prime (320307107) and next prime (320307133).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×320307120² = 205193302245388800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 320307093 and 320307102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246312 + ... + 247608.

It is an arithmetic number, because the mean of its divisors is an integer number (5230940).

Almost surely, 2^320307120 is an apocalyptic number.

320307120 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 320307120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627712800).

320307120 is an abundant number, since it is smaller than the sum of its proper divisors (935118480).

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

320307120 is a wasteful number, since it uses less digits than its factorization.

320307120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 320307120 is about 17897.1260262647. The cubic root of 320307120 is about 684.2091286258.

The spelling of 320307120 in words is "three hundred twenty million, three hundred seven thousand, one hundred twenty".