27268 has 12 divisors (see below), whose sum is σ = 50652. Its totient is φ = 12800.

The previous prime is 27259. The next prime is 27271. The reversal of 27268 is 86272.

It can be written as a sum of positive squares in 2 ways, for example, as 24964 + 2304 = 158^2 + 48^2 .

It is an unprimeable number.

27268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133 + ... + 268.

It is an arithmetic number, because the mean of its divisors is an integer number (4221).

2²⁷²⁶⁸ is an apocalyptic number.

It is an amenable number.

27268 is a deficient number, since it is larger than the sum of its proper divisors (23384).

27268 is a wasteful number, since it uses less digits than its factorization.

27268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 420 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 27268 is about 165.1302516197. The cubic root of 27268 is about 30.0989326450.

It can be divided in two parts, 272 and 68, that multiplied together give a square (18496 = 136²).

The spelling of 27268 in words is "twenty-seven thousand, two hundred sixty-eight".