27960 has 32 divisors (see below), whose sum is σ = 84240. Its totient is φ = 7424.

The previous prime is 27953. The next prime is 27961. The reversal of 27960 is 6972.

27960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 27960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27961) by changing a digit.

27960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 236.

2²⁷⁹⁶⁰ is an apocalyptic number.

27960 is a gapful number since it is divisible by the number (20) 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 27960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42120).

27960 is an abundant number, since it is smaller than the sum of its proper divisors (56280).

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

27960 is a wasteful number, since it uses less digits than its factorization.

27960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 27960 is about 167.2124397286. The cubic root of 27960 is about 30.3514228801.

The spelling of 27960 in words is "twenty-seven thousand, nine hundred sixty".