27280 has 40 divisors (see below), whose sum is σ = 71424. Its totient is φ = 9600.

The previous prime is 27277. The next prime is 27281. The reversal of 27280 is 8272.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 865 + ... + 895.

2²⁷²⁸⁰ is an apocalyptic number.

27280 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 27280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712).

27280 is an abundant number, since it is smaller than the sum of its proper divisors (44144).

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

27280 is a wasteful number, since it uses less digits than its factorization.

27280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 27280 is about 165.1665825765. The cubic root of 27280 is about 30.1033472729.

Subtracting from 27280 its sum of digits (19), we obtain a triangular number (27261 = T₂₃₃).

The spelling of 27280 in words is "twenty-seven thousand, two hundred eighty".