27676 has 24 divisors (see below), whose sum is σ = 57456. Its totient is φ = 11520.

The previous prime is 27673. The next prime is 27689. The reversal of 27676 is 67672.

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 (27673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 730 + ... + 766.

It is an arithmetic number, because the mean of its divisors is an integer number (2394).

2²⁷⁶⁷⁶ is an apocalyptic number.

27676 is the 136-th pentagonal number.

It is an amenable number.

27676 is an abundant number, since it is smaller than the sum of its proper divisors (29780).

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 (28728).

27676 is a wasteful number, since it uses less digits than its factorization.

27676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 67 counting only the distinct ones).

The product of its digits is 3528, while the sum is 28.

The square root of 27676 is about 166.3610531344. The cubic root of 27676 is about 30.2483094472.

It can be divided in two parts, 27 and 676, that added together give a triangular number (703 = T₃₇).

The spelling of 27676 in words is "twenty-seven thousand, six hundred seventy-six".