27480 has 32 divisors (see below), whose sum is σ = 82800. Its totient is φ = 7296.

The previous prime is 27479. The next prime is 27481. The reversal of 27480 is 8472.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27479) and next prime (27481).

It is a nialpdrome in base 8 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27481) 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, 6 + ... + 234.

2²⁷⁴⁸⁰ is an apocalyptic number.

27480 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 27480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41400).

27480 is an abundant number, since it is smaller than the sum of its proper divisors (55320).

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

27480 is a wasteful number, since it uses less digits than its factorization.

27480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 27480 is about 165.7709262808. The cubic root of 27480 is about 30.1767345630.

The spelling of 27480 in words is "twenty-seven thousand, four hundred eighty".