27085536 has 192 divisors, whose sum is σ = 87091200. Its totient is φ = 8160768.

The previous prime is 27085529. The next prime is 27085561. The reversal of 27085536 is 63558072.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27085536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576265 + ... + 576311.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 2^27085536 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 27085536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

27085536 is an abundant number, since it is smaller than the sum of its proper divisors (60005664).

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

27085536 is a wasteful number, since it uses less digits than its factorization.

27085536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 27085536 is about 5204.3766197307. The cubic root of 27085536 is about 300.3164660468.

The spelling of 27085536 in words is "twenty-seven million, eighty-five thousand, five hundred thirty-six".