27420 has 24 divisors (see below), whose sum is σ = 76944. Its totient is φ = 7296.

The previous prime is 27409. The next prime is 27427. The reversal of 27420 is 2472.

27420 = T₆₉ + T₇₀ + ... + T₇₈.

27420 = 4² + 5² + ... + 43².

27420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

27420 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 27420.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27420.

It is not an unprimeable number, because it can be changed into a prime (27427) by changing a digit.

27420 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, 169 + ... + 288.

It is an arithmetic number, because the mean of its divisors is an integer number (3206).

2²⁷⁴²⁰ is an apocalyptic number.

27420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27420 is an abundant number, since it is smaller than the sum of its proper divisors (49524).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38472).

27420 is a wasteful number, since it uses less digits than its factorization.

27420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 27420 is about 165.5898547617. The cubic root of 27420 is about 30.1547558702.

Adding to 27420 its reverse (2472), we get a palindrome (29892).

The spelling of 27420 in words is "twenty-seven thousand, four hundred twenty", and thus it is an iban number.