27680 has 24 divisors (see below), whose sum is σ = 65772. Its totient is φ = 11008.

The previous prime is 27673. The next prime is 27689. The reversal of 27680 is 8672.

It can be written as a sum of positive squares in 2 ways, for example, as 26896 + 784 = 164^2 + 28^2 .

It is not an unprimeable number, because it can be changed into a prime (27689) by changing a digit.

27680 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74 + ... + 246.

2²⁷⁶⁸⁰ is an apocalyptic number.

27680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32886).

27680 is an abundant number, since it is smaller than the sum of its proper divisors (38092).

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

27680 is a wasteful number, since it uses less digits than its factorization.

27680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 27680 is about 166.3730747447. The cubic root of 27680 is about 30.2497666353.

It can be divided in two parts, 27 and 680, that added together give a palindrome (707).

The spelling of 27680 in words is "twenty-seven thousand, six hundred eighty".