320205960 has 224 divisors, whose sum is σ = 1101744000. Its totient is φ = 83700864.

The previous prime is 320205937. The next prime is 320205983. The reversal of 320205960 is 69502023.

It is an interprime number because it is at equal distance from previous prime (320205937) and next prime (320205983).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 55 ways as a sum of consecutive naturals, for example, 2303571 + ... + 2303709.

It is an arithmetic number, because the mean of its divisors is an integer number (4918500).

Almost surely, 2^320205960 is an apocalyptic number.

320205960 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 320205960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550872000).

320205960 is an abundant number, since it is smaller than the sum of its proper divisors (781538040).

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

320205960 is a wasteful number, since it uses less digits than its factorization.

320205960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 320205960 is about 17894.2996510062. The cubic root of 320205960 is about 684.1370916350.

Adding to 320205960 its reverse (69502023), we get a palindrome (389707983).

The spelling of 320205960 in words is "three hundred twenty million, two hundred five thousand, nine hundred sixty".