27696 has 20 divisors (see below), whose sum is σ = 71672. Its totient is φ = 9216.

The previous prime is 27691. The next prime is 27697. The reversal of 27696 is 69672.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27691) by changing a digit.

27696 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, 241 + ... + 336.

2²⁷⁶⁹⁶ is an apocalyptic number.

It is an amenable number.

27696 is an abundant number, since it is smaller than the sum of its proper divisors (43976).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35836).

27696 is a wasteful number, since it uses less digits than its factorization.

27696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 27696 is about 166.4211525017. The cubic root of 27696 is about 30.2555939840.

It can be divided in two parts, 2769 and 6, that added together give a triangular number (2775 = T₇₄).

The spelling of 27696 in words is "twenty-seven thousand, six hundred ninety-six".