27540 has 60 divisors (see below), whose sum is σ = 91476. Its totient is φ = 6912.

The previous prime is 27539. The next prime is 27541. The reversal of 27540 is 4572.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27539) and next prime (27541).

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 11664 = 126^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

27540 is an undulating number in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27541) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1612 + ... + 1628.

2²⁷⁵⁴⁰ is an apocalyptic number.

27540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45738).

27540 is an abundant number, since it is smaller than the sum of its proper divisors (63936).

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

27540 is a wasteful number, since it uses less digits than its factorization.

27540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 27540 is about 165.9518002313. The cubic root of 27540 is about 30.1986812868.

The spelling of 27540 in words is "twenty-seven thousand, five hundred forty".