27686340 has 192 divisors, whose sum is σ = 96768000. Its totient is φ = 6514560.

The previous prime is 27686339. The next prime is 27686371. The reversal of 27686340 is 4368672.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27686295 and 27686304.

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 63 ways as a sum of consecutive naturals, for example, 350421 + ... + 350499.

It is an arithmetic number, because the mean of its divisors is an integer number (504000).

Almost surely, 2^27686340 is an apocalyptic number.

27686340 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 27686340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384000).

27686340 is an abundant number, since it is smaller than the sum of its proper divisors (69081660).

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

27686340 is a wasteful number, since it uses less digits than its factorization.

27686340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 27686340 is about 5261.7810672813. The cubic root of 27686340 is about 302.5207599076.

The spelling of 27686340 in words is "twenty-seven million, six hundred eighty-six thousand, three hundred forty".