27681136 has 40 divisors (see below), whose sum is σ = 62004960. Its totient is φ = 11725824.

The previous prime is 27681133. The next prime is 27681161. The reversal of 27681136 is 63118672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27681133) 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 7 ways as a sum of consecutive naturals, for example, 8580 + ... + 11356.

It is an arithmetic number, because the mean of its divisors is an integer number (1550124).

Almost surely, 2^27681136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27681136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31002480).

27681136 is an abundant number, since it is smaller than the sum of its proper divisors (34323824).

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

27681136 is a wasteful number, since it uses less digits than its factorization.

27681136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2875 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 27681136 is about 5261.2865346795. The cubic root of 27681136 is about 302.5018045108.

The spelling of 27681136 in words is "twenty-seven million, six hundred eighty-one thousand, one hundred thirty-six".