27030 has 32 divisors (see below), whose sum is σ = 69984. Its totient is φ = 6656.

The previous prime is 27017. The next prime is 27031. The reversal of 27030 is 3072.

27030 is nontrivially palindromic in base 16.

It is an alternating number because its digits alternate between even and odd.

27030 is an undulating number in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 26997 and 27015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27031) by changing a digit.

27030 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 15 ways as a sum of consecutive naturals, for example, 484 + ... + 536.

It is an arithmetic number, because the mean of its divisors is an integer number (2187).

2²⁷⁰³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34992).

27030 is an abundant number, since it is smaller than the sum of its proper divisors (42954).

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

27030 is a wasteful number, since it uses less digits than its factorization.

27030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80.

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 27030 is about 164.4080290010. The cubic root of 27030 is about 30.0111069984.

Adding to 27030 its product of nonzero digits (42), we get a palindrome (27072).

It can be divided in two parts, 270 and 30, that multiplied together give a square (8100 = 90²).

The spelling of 27030 in words is "twenty-seven thousand, thirty".