320705664 has 128 divisors (see below), whose sum is σ = 910656000. Its totient is φ = 99778560.

The previous prime is 320705659. The next prime is 320705669. The reversal of 320705664 is 466507023.

It is an interprime number because it is at equal distance from previous prime (320705659) and next prime (320705669).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (320705669) 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, 344752 + ... + 345680.

It is an arithmetic number, because the mean of its divisors is an integer number (7114500).

Almost surely, 2^320705664 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 320705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455328000).

320705664 is an abundant number, since it is smaller than the sum of its proper divisors (589950336).

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

320705664 is a wasteful number, since it uses less digits than its factorization.

320705664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 320705664 is about 17908.2568665965. The cubic root of 320705664 is about 684.4927880747.

The spelling of 320705664 in words is "three hundred twenty million, seven hundred five thousand, six hundred sixty-four".