320140320 has 48 divisors (see below), whose sum is σ = 1008443520. Its totient is φ = 85370624.

The previous prime is 320140319. The next prime is 320140321. The reversal of 320140320 is 23041023.

It is an interprime number because it is at equal distance from previous prime (320140319) and next prime (320140321).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×320140320³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 320140320.

It is not an unprimeable number, because it can be changed into a prime (320140321) 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, 333000 + ... + 333959.

It is an arithmetic number, because the mean of its divisors is an integer number (21009240).

Almost surely, 2^320140320 is an apocalyptic number.

320140320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320140320 is an abundant number, since it is smaller than the sum of its proper divisors (688303200).

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

320140320 is a wasteful number, since it uses less digits than its factorization.

320140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666977 (or 666969 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 320140320 is about 17892.4654533689. The cubic root of 320140320 is about 684.0903406547.

Adding to 320140320 its reverse (23041023), we get a palindrome (343181343).

The spelling of 320140320 in words is "three hundred twenty million, one hundred forty thousand, three hundred twenty".