27380 has 18 divisors (see below), whose sum is σ = 59094. Its totient is φ = 10656.

The previous prime is 27367. The next prime is 27397. The reversal of 27380 is 8372.

27380 = T₁₁₅ + T₁₁₆ + ... + T₁₁₈.

It can be written as a sum of positive squares in 3 ways, for example, as 13456 + 13924 = 116^2 + 118^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

27380 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 5 ways as a sum of consecutive naturals, for example, 722 + ... + 758.

It is an arithmetic number, because the mean of its divisors is an integer number (3283).

2²⁷³⁸⁰ is an apocalyptic number.

27380 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 27380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29547).

27380 is an abundant number, since it is smaller than the sum of its proper divisors (31714).

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

27380 is a wasteful number, since it uses less digits than its factorization.

27380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 27380 is about 165.4690303350. The cubic root of 27380 is about 30.1400855902.

Multiplying 27380 by its sum of digits (20), we get a square (547600 = 740²).

27380 divided by its sum of digits (20) gives a square (1369 = 37²).

It can be divided in two parts, 273 and 80, that added together give a palindrome (353).

The spelling of 27380 in words is "twenty-seven thousand, three hundred eighty".