27456 has 56 divisors (see below), whose sum is σ = 85344. Its totient is φ = 7680.

The previous prime is 27449. The next prime is 27457. The reversal of 27456 is 65472.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 8 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27457) 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, 2106 + ... + 2118.

It is an arithmetic number, because the mean of its divisors is an integer number (1524).

2²⁷⁴⁵⁶ is an apocalyptic number.

27456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

27456 is the 96-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42672).

27456 is an abundant number, since it is smaller than the sum of its proper divisors (57888).

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

27456 is a wasteful number, since it uses less digits than its factorization.

27456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 29 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 27456 is about 165.6985214177. The cubic root of 27456 is about 30.1679469287.

The spelling of 27456 in words is "twenty-seven thousand, four hundred fifty-six".