27688 has 8 divisors (see below), whose sum is σ = 51930. Its totient is φ = 13840.

The previous prime is 27673. The next prime is 27689. The reversal of 27688 is 88672.

27688 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 26244 + 1444 = 162^2 + 38^2 .

It is a tau number, because it is divible by the number of its divisors (8).

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1723 + ... + 1738.

2²⁷⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

27688 is a deficient number, since it is larger than the sum of its proper divisors (24242).

27688 is a wasteful number, since it uses less digits than its factorization.

27688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467 (or 3463 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 27688 is about 166.3971153596. The cubic root of 27688 is about 30.2526805903.

It can be divided in two parts, 2 and 7688, that multiplied together give a square (15376 = 124²).

The spelling of 27688 in words is "twenty-seven thousand, six hundred eighty-eight".