320268160 has 64 divisors (see below), whose sum is σ = 772833600. Its totient is φ = 126904320.

The previous prime is 320268139. The next prime is 320268163. The reversal of 320268160 is 61862023.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320268163) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 67465 + ... + 72055.

It is an arithmetic number, because the mean of its divisors is an integer number (12075525).

Almost surely, 2^320268160 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 320268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386416800).

320268160 is an abundant number, since it is smaller than the sum of its proper divisors (452565440).

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

320268160 is a wasteful number, since it uses less digits than its factorization.

320268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 320268160 is about 17896.0375502512. The cubic root of 320268160 is about 684.1813866382.

It can be divided in two parts, 32026 and 8160, that added together give a triangular number (40186 = T₂₈₃).

The spelling of 320268160 in words is "three hundred twenty million, two hundred sixty-eight thousand, one hundred sixty".