27390 has 32 divisors (see below), whose sum is σ = 72576. Its totient is φ = 6560.

The previous prime is 27367. The next prime is 27397. The reversal of 27390 is 9372.

27390 = T₆₅ + T₆₆ + ... + T₇₅.

27390 = 72² + 73² + ... + 76².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27397) by changing a digit.

27390 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289 + ... + 371.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

2²⁷³⁹⁰ is an apocalyptic number.

It is a pronic number, being equal to 165×166.

It is a practical number, because each smaller number is the sum of distinct divisors of 27390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288).

27390 is an abundant number, since it is smaller than the sum of its proper divisors (45186).

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

27390 is a wasteful number, since it uses less digits than its factorization.

27390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 27390 is about 165.4992447113. The cubic root of 27390 is about 30.1437544990.

It can be divided in two parts, 273 and 90, that added together give a palindrome (363).

The spelling of 27390 in words is "twenty-seven thousand, three hundred ninety".