27686540 has 48 divisors (see below), whose sum is σ = 70362432. Its totient is φ = 8933376.

The previous prime is 27686537. The next prime is 27686563. The reversal of 27686540 is 4568672.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27686494 and 27686503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3437 + ... + 8196.

It is an arithmetic number, because the mean of its divisors is an integer number (1465884).

Almost surely, 2^27686540 is an apocalyptic number.

27686540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27686540 is an abundant number, since it is smaller than the sum of its proper divisors (42675892).

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

27686540 is a wasteful number, since it uses less digits than its factorization.

27686540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11666 (or 11664 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 27686540 is about 5261.8000722186. The cubic root of 27686540 is about 302.5214883535.

The spelling of 27686540 in words is "twenty-seven million, six hundred eighty-six thousand, five hundred forty".