27630 has 24 divisors (see below), whose sum is σ = 72072. Its totient is φ = 7344.

The previous prime is 27617. The next prime is 27631. The reversal of 27630 is 3672.

27630 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a plaindrome in base 16.

It is a nialpdrome in base 13.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64 + ... + 243.

It is an arithmetic number, because the mean of its divisors is an integer number (3003).

2²⁷⁶³⁰ is an apocalyptic number.

27630 is an abundant number, since it is smaller than the sum of its proper divisors (44442).

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 (36036).

27630 is a wasteful number, since it uses less digits than its factorization.

27630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 27630 is about 166.2227421263. Note that the first 3 decimals coincide. The cubic root of 27630 is about 30.2315416841.

The spelling of 27630 in words is "twenty-seven thousand, six hundred thirty".