27900 has 54 divisors (see below), whose sum is σ = 90272. Its totient is φ = 7200.

The previous prime is 27893. The next prime is 27901. The reversal of 27900 is 972.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 885 + ... + 915.

2²⁷⁹⁰⁰ is an apocalyptic number.

27900 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 27900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45136).

27900 is an abundant number, since it is smaller than the sum of its proper divisors (62372).

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

27900 is a wasteful number, since it uses less digits than its factorization.

27900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 27900 is about 167.0329308849. The cubic root of 27900 is about 30.3296967289.

The spelling of 27900 in words is "twenty-seven thousand, nine hundred".