27408 has 20 divisors (see below), whose sum is σ = 70928. Its totient is φ = 9120.

The previous prime is 27407. The next prime is 27409. The reversal of 27408 is 80472.

Added to its reverse (80472) it gives a triangular number (107880 = T₄₆₄).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27407) and next prime (27409).

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27408.

It is not an unprimeable number, because it can be changed into a prime (27407) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238 + ... + 333.

2²⁷⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

27408 is an abundant number, since it is smaller than the sum of its proper divisors (43520).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35464).

27408 is a wasteful number, since it uses less digits than its factorization.

27408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 576 counting only the distinct ones).

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

The square root of 27408 is about 165.5536166926. The cubic root of 27408 is about 30.1503562851.

Adding to 27408 its reverse (80472), we get a triangular number (107880 = T₄₆₄).

It can be divided in two parts, 27 and 408, that added together give a triangular number (435 = T₂₉).

The spelling of 27408 in words is "twenty-seven thousand, four hundred eight".