27085968 has 240 divisors, whose sum is σ = 98029440. Its totient is φ = 7008768.

The previous prime is 27085967. The next prime is 27085969. The reversal of 27085968 is 86958072.

It is an interprime number because it is at equal distance from previous prime (27085967) and next prime (27085969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27085967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511030 + ... + 511082.

It is an arithmetic number, because the mean of its divisors is an integer number (408456).

Almost surely, 2^27085968 is an apocalyptic number.

27085968 is a gapful number since it is divisible by the number (28) 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 27085968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49014720).

27085968 is an abundant number, since it is smaller than the sum of its proper divisors (70943472).

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

27085968 is a wasteful number, since it uses less digits than its factorization.

27085968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 27085968 is about 5204.4181230950. The cubic root of 27085968 is about 300.3180626680.

The spelling of 27085968 in words is "twenty-seven million, eighty-five thousand, nine hundred sixty-eight".