27636 has 36 divisors (see below), whose sum is σ = 76608. Its totient is φ = 7728.

The previous prime is 27631. The next prime is 27647. The reversal of 27636 is 63672.

27636 = T₈ + T₉ + ... + T₅₄.

It is a nude number because it is divisible by every one of its digits.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27631) by changing a digit.

27636 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 11 ways as a sum of consecutive naturals, for example, 565 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (2128).

2²⁷⁶³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304).

27636 is an abundant number, since it is smaller than the sum of its proper divisors (48972).

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

27636 is a wasteful number, since it uses less digits than its factorization.

27636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 59 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 27636 is about 166.2407892185. The cubic root of 27636 is about 30.2337298385.

The spelling of 27636 in words is "twenty-seven thousand, six hundred thirty-six".