27968 has 28 divisors (see below), whose sum is σ = 60960. Its totient is φ = 12672.

The previous prime is 27967. The next prime is 27983. The reversal of 27968 is 86972.

27968 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (6048) is a multiple of the sum of its prime factors (54).

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 (27961) 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, 1205 + ... + 1227.

2²⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30480).

27968 is an abundant number, since it is smaller than the sum of its proper divisors (32992).

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

27968 is a wasteful number, since it uses less digits than its factorization.

27968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 44 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 27968 is about 167.2363596829. The cubic root of 27968 is about 30.3543173511.

The spelling of 27968 in words is "twenty-seven thousand, nine hundred sixty-eight".