320312520 has 192 divisors, whose sum is σ = 1160490240. Its totient is φ = 75955200.

The previous prime is 320312477. The next prime is 320312533. The reversal of 320312520 is 25213023.

320312520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×320312520² = 205200220937500800, 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 = 320312493 and 320312502.

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 47 ways as a sum of consecutive naturals, for example, 185260 + ... + 186980.

It is an arithmetic number, because the mean of its divisors is an integer number (6044220).

Almost surely, 2^320312520 is an apocalyptic number.

320312520 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 320312520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580245120).

320312520 is an abundant number, since it is smaller than the sum of its proper divisors (840177720).

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

320312520 is a wasteful number, since it uses less digits than its factorization.

320312520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 320312520 is about 17897.2768878397. The cubic root of 320312520 is about 684.2129735903.

Adding to 320312520 its reverse (25213023), we get a palindrome (345525543).

The spelling of 320312520 in words is "three hundred twenty million, three hundred twelve thousand, five hundred twenty".