27468 has 36 divisors (see below), whose sum is σ = 80080. Its totient is φ = 7776.

The previous prime is 27457. The next prime is 27479. The reversal of 27468 is 86472.

27468 is nontrivially palindromic in base 13.

27468 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (27457) and next prime (27479).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198 + ... + 306.

2²⁷⁴⁶⁸ is an apocalyptic number.

27468 is a gapful number since it is divisible by the number (28) 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 27468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40040).

27468 is an abundant number, since it is smaller than the sum of its proper divisors (52612).

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

27468 is a wasteful number, since it uses less digits than its factorization.

27468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 121 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 27468 is about 165.7347278032. The cubic root of 27468 is about 30.1723413857.

Adding to 27468 its sum of digits (27), we get a triangular number (27495 = T₂₃₄).

The spelling of 27468 in words is "twenty-seven thousand, four hundred sixty-eight".