27040 has 36 divisors (see below), whose sum is σ = 69174. Its totient is φ = 9984.

The previous prime is 27031. The next prime is 27043. The reversal of 27040 is 4072.

27040 = T₁₆ + T₁₇ + ... + T₅₄.

27040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11664 + 15376 = 108^2 + 124^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

27040 is strictly pandigital in base 6.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 27040.

It is not an unprimeable number, because it can be changed into a prime (27043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2074 + ... + 2086.

2²⁷⁰⁴⁰ is an apocalyptic number.

27040 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 27040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34587).

27040 is an abundant number, since it is smaller than the sum of its proper divisors (42134).

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

27040 is a wasteful number, since it uses less digits than its factorization.

27040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 27040 is about 164.4384383288. The cubic root of 27040 is about 30.0148075049.

27040 divided by its sum of digits (13) gives a triangular number (2080 = T₆₄).

The spelling of 27040 in words is "twenty-seven thousand, forty", and thus it is an iban number.