320966240 has 96 divisors (see below), whose sum is σ = 912280320. Its totient is φ = 104246784.

The previous prime is 320966207. The next prime is 320966249. The reversal of 320966240 is 42669023.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 320966197 and 320966206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320966249) 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 15 ways as a sum of consecutive naturals, for example, 13739 + ... + 28821.

It is an arithmetic number, because the mean of its divisors is an integer number (9502920).

Almost surely, 2^320966240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456140160).

320966240 is an abundant number, since it is smaller than the sum of its proper divisors (591314080).

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

320966240 is a wasteful number, since it uses less digits than its factorization.

320966240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15124 (or 15116 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 320966240 is about 17915.5306926700. The cubic root of 320966240 is about 684.6781232357.

The spelling of 320966240 in words is "three hundred twenty million, nine hundred sixty-six thousand, two hundred forty".