27687140 has 48 divisors (see below), whose sum is σ = 63419328. Its totient is φ = 10091904.

The previous prime is 27687139. The next prime is 27687151. The reversal of 27687140 is 4178672.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 27687140.

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, 20939 + ... + 22221.

It is an arithmetic number, because the mean of its divisors is an integer number (1321236).

Almost surely, 2^27687140 is an apocalyptic number.

27687140 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 27687140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31709664).

27687140 is an abundant number, since it is smaller than the sum of its proper divisors (35732188).

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

27687140 is a wasteful number, since it uses less digits than its factorization.

27687140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 27687140 is about 5261.8570866188. The cubic root of 27687140 is about 302.5236736703.

The spelling of 27687140 in words is "twenty-seven million, six hundred eighty-seven thousand, one hundred forty".