327680 has 34 divisors (see below), whose sum is σ = 786426. Its totient is φ = 131072.

The previous prime is 327673. The next prime is 327689. The reversal of 327680 is 86723.

It can be written as a sum of positive squares in only one way, i.e., 262144 + 65536 = 512^2 + 256^2 .

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327689) by changing a digit.

327680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 327680 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65534 + ... + 65538.

327680 is a Friedman number, since it can be written as 8^(6-2^0)*(7+3), using all its digits and the basic arithmetic operations.

2³²⁷⁶⁸⁰ 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 327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393213).

327680 is an abundant number, since it is smaller than the sum of its proper divisors (458746).

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

327680 is an frugal number, since it uses more digits than its factorization.

327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 7 counting only the distinct ones).

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

The square root of 327680 is about 572.4334022399. The cubic root of 327680 is about 68.9419100810.

The spelling of 327680 in words is "three hundred twenty-seven thousand, six hundred eighty".