27138306 has 32 divisors (see below), whose sum is σ = 58988160. Its totient is φ = 8273664.

The previous prime is 27138301. The next prime is 27138313. The reversal of 27138306 is 60383172.

It is not an unprimeable number, because it can be changed into a prime (27138301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7275 + ... + 10353.

It is an arithmetic number, because the mean of its divisors is an integer number (1843380).

Almost surely, 2^27138306 is an apocalyptic number.

27138306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27138306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29494080).

27138306 is an abundant number, since it is smaller than the sum of its proper divisors (31849854).

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

27138306 is a wasteful number, since it uses less digits than its factorization.

27138306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 27138306 is about 5209.4439242591. The cubic root of 27138306 is about 300.5113722771.

The spelling of 27138306 in words is "twenty-seven million, one hundred thirty-eight thousand, three hundred six".