320768 has 36 divisors (see below), whose sum is σ = 735840. Its totient is φ = 136704.

The previous prime is 320767. The next prime is 320791. The reversal of 320768 is 867023.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1703 + ... + 1881.

It is an arithmetic number, because the mean of its divisors is an integer number (20440).

2³²⁰⁷⁶⁸ 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 320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367920).

320768 is an abundant number, since it is smaller than the sum of its proper divisors (415072).

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

320768 is an equidigital number, since it uses as much as digits as its factorization.

320768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 320768 is about 566.3638406537. The cubic root of 320768 is about 68.4537133803.

The spelling of 320768 in words is "three hundred twenty thousand, seven hundred sixty-eight".