27640 has 16 divisors (see below), whose sum is σ = 62280. Its totient is φ = 11040.

The previous prime is 27631. The next prime is 27647. The reversal of 27640 is 4672.

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 (27647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 306 + ... + 385.

2²⁷⁶⁴⁰ is an apocalyptic number.

27640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27640 is an abundant number, since it is smaller than the sum of its proper divisors (34640).

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 (31140).

27640 is a wasteful number, since it uses less digits than its factorization.

27640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 27640 is about 166.2528195250. The cubic root of 27640 is about 30.2351884322.

The spelling of 27640 in words is "twenty-seven thousand, six hundred forty".