27048 has 48 divisors (see below), whose sum is σ = 82080. Its totient is φ = 7392.

The previous prime is 27043. The next prime is 27059. The reversal of 27048 is 84072.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27043) by changing a digit.

27048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1165 + ... + 1187.

It is an arithmetic number, because the mean of its divisors is an integer number (1710).

2²⁷⁰⁴⁸ is an apocalyptic number.

27048 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 27048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41040).

27048 is an abundant number, since it is smaller than the sum of its proper divisors (55032).

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

27048 is a wasteful number, since it uses less digits than its factorization.

27048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 35 counting only the distinct ones).

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

The square root of 27048 is about 164.4627617426. The cubic root of 27048 is about 30.0177672532.

The spelling of 27048 in words is "twenty-seven thousand, forty-eight".