27027144 has 96 divisors (see below), whose sum is σ = 78848640. Its totient is φ = 8332800.

The previous prime is 27027137. The next prime is 27027149. The reversal of 27027144 is 44172072.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27027149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86749 + ... + 87059.

It is an arithmetic number, because the mean of its divisors is an integer number (821340).

Almost surely, 2^27027144 is an apocalyptic number.

27027144 is a gapful number since it is divisible by the number (24) 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 27027144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39424320).

27027144 is an abundant number, since it is smaller than the sum of its proper divisors (51821496).

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

27027144 is a wasteful number, since it uses less digits than its factorization.

27027144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 27027144 is about 5198.7636991885. The cubic root of 27027144 is about 300.1004996623.

The spelling of 27027144 in words is "twenty-seven million, twenty-seven thousand, one hundred forty-four".