27134640 has 180 divisors, whose sum is σ = 99118656. Its totient is φ = 6649344.

The previous prime is 27134623. The next prime is 27134647. The reversal of 27134640 is 4643172.

27134640 is a `hidden beast` number, since 2 + 7 + 13 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (27134647) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 121569 + ... + 121791.

Almost surely, 2^27134640 is an apocalyptic number.

27134640 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 27134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49559328).

27134640 is an abundant number, since it is smaller than the sum of its proper divisors (71984016).

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

27134640 is a wasteful number, since it uses less digits than its factorization.

27134640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 27134640 is about 5209.0920514040. The cubic root of 27134640 is about 300.4978400606.

The spelling of 27134640 in words is "twenty-seven million, one hundred thirty-four thousand, six hundred forty".