320106820 has 24 divisors (see below), whose sum is σ = 733336128. Its totient is φ = 116402400.

The previous prime is 320106793. The next prime is 320106827. The reversal of 320106820 is 28601023.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 320106791 and 320106800.

It is not an unprimeable number, because it can be changed into a prime (320106827) 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, 727296 + ... + 727735.

It is an arithmetic number, because the mean of its divisors is an integer number (30555672).

Almost surely, 2^320106820 is an apocalyptic number.

It is an amenable number.

320106820 is an abundant number, since it is smaller than the sum of its proper divisors (413229308).

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

320106820 is a wasteful number, since it uses less digits than its factorization.

320106820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455051 (or 1455049 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 320106820 is about 17891.5292806400. The cubic root of 320106820 is about 684.0664783831.

Adding to 320106820 its reverse (28601023), we get a palindrome (348707843).

The spelling of 320106820 in words is "three hundred twenty million, one hundred six thousand, eight hundred twenty".