320753664 has 312 divisors, whose sum is σ = 1165349952. Its totient is φ = 82575360.

The previous prime is 320753663. The next prime is 320753729. The reversal of 320753664 is 466357023.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320753663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2838472 + ... + 2838584.

It is an arithmetic number, because the mean of its divisors is an integer number (3735096).

Almost surely, 2^320753664 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 320753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582674976).

320753664 is an abundant number, since it is smaller than the sum of its proper divisors (844596288).

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

320753664 is a wasteful number, since it uses less digits than its factorization.

320753664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 320753664 is about 17909.5969803902. The cubic root of 320753664 is about 684.5269357045.

The spelling of 320753664 in words is "three hundred twenty million, seven hundred fifty-three thousand, six hundred sixty-four".