27138834 has 96 divisors (see below), whose sum is σ = 67196160. Its totient is φ = 8107776.

The previous prime is 27138833. The next prime is 27138841. The reversal of 27138834 is 43883172.

27138834 is a `hidden beast` number, since 271 + 388 + 3 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27138833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 577399 + ... + 577445.

It is an arithmetic number, because the mean of its divisors is an integer number (699960).

Almost surely, 2^27138834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27138834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33598080).

27138834 is an abundant number, since it is smaller than the sum of its proper divisors (40057326).

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

27138834 is a wasteful number, since it uses less digits than its factorization.

27138834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 27138834 is about 5209.4946012065. The cubic root of 27138834 is about 300.5133211703.

It can be divided in two parts, 27138 and 834, that added together give a palindrome (27972).

The spelling of 27138834 in words is "twenty-seven million, one hundred thirty-eight thousand, eight hundred thirty-four".