320002320 has 160 divisors (see below), whose sum is σ = 1105643520. Its totient is φ = 75896320.

The previous prime is 320002303. The next prime is 320002337. The reversal of 320002320 is 23200023.

It is an interprime number because it is at equal distance from previous prime (320002303) and next prime (320002337).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 320002296 and 320002305.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 122791 + ... + 125369.

It is an arithmetic number, because the mean of its divisors is an integer number (6910272).

Almost surely, 2^320002320 is an apocalyptic number.

320002320 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 320002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552821760).

320002320 is an abundant number, since it is smaller than the sum of its proper divisors (785641200).

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

320002320 is a wasteful number, since it uses less digits than its factorization.

320002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 320002320 is about 17888.6086658521. The cubic root of 320002320 is about 683.9920316434.

Adding to 320002320 its reverse (23200023), we get a palindrome (343202343).

The spelling of 320002320 in words is "three hundred twenty million, two thousand, three hundred twenty".