27085716 has 72 divisors (see below), whose sum is σ = 82380480. Its totient is φ = 7330176.

The previous prime is 27085711. The next prime is 27085717. The reversal of 27085716 is 61758072.

It is a super-2 number, since 2×27085716² = 1467272022465312, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27085711) 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 23 ways as a sum of consecutive naturals, for example, 1960 + ... + 7616.

Almost surely, 2^27085716 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 27085716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41190240).

27085716 is an abundant number, since it is smaller than the sum of its proper divisors (55294764).

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

27085716 is a wasteful number, since it uses less digits than its factorization.

27085716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5693 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 27085716 is about 5204.3939128394. The cubic root of 27085716 is about 300.3171313077.

The spelling of 27085716 in words is "twenty-seven million, eighty-five thousand, seven hundred sixteen".