27240 has 32 divisors (see below), whose sum is σ = 82080. Its totient is φ = 7232.

The previous prime is 27239. The next prime is 27241. The reversal of 27240 is 4272.

It is an interprime number because it is at equal distance from previous prime (27239) and next prime (27241).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (27241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7 + ... + 233.

It is an arithmetic number, because the mean of its divisors is an integer number (2565).

2²⁷²⁴⁰ is an apocalyptic number.

27240 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 27240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41040).

27240 is an abundant number, since it is smaller than the sum of its proper divisors (54840).

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

27240 is a wasteful number, since it uses less digits than its factorization.

27240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 27240 is about 165.0454482862. The cubic root of 27240 is about 30.0886268074.

Subtracting from 27240 its sum of digits (15), we obtain a square (27225 = 165²).

The spelling of 27240 in words is "twenty-seven thousand, two hundred forty", and thus it is an iban number.