27940 has 24 divisors (see below), whose sum is σ = 64512. Its totient is φ = 10080.

The previous prime is 27919. The next prime is 27941. The reversal of 27940 is 4972.

27940 = T₃₉ + T₄₀ + ... + T₆₀.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 8 and base 13.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (27941) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 157 + ... + 283.

It is an arithmetic number, because the mean of its divisors is an integer number (2688).

2²⁷⁹⁴⁰ is an apocalyptic number.

27940 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 27940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256).

27940 is an abundant number, since it is smaller than the sum of its proper divisors (36572).

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

27940 is a wasteful number, since it uses less digits than its factorization.

27940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 27940 is about 167.1526248672. The cubic root of 27940 is about 30.3441842863.

The spelling of 27940 in words is "twenty-seven thousand, nine hundred forty".