27086640 has 160 divisors (see below), whose sum is σ = 100279296. Its totient is φ = 5913600.

The previous prime is 27086639. The next prime is 27086641. The reversal of 27086640 is 4668072.

It is an interprime number because it is at equal distance from previous prime (27086639) and next prime (27086641).

It is not an unprimeable number, because it can be changed into a prime (27086641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38290 + ... + 38990.

Almost surely, 2^27086640 is an apocalyptic number.

27086640 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 27086640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50139648).

27086640 is an abundant number, since it is smaller than the sum of its proper divisors (73192656).

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

27086640 is a wasteful number, since it uses less digits than its factorization.

27086640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 27086640 is about 5204.4826832261. The cubic root of 27086640 is about 300.3205462672.

The spelling of 27086640 in words is "twenty-seven million, eighty-six thousand, six hundred forty".