27986112 has 168 divisors, whose sum is σ = 100169472. Its totient is φ = 7257600.

The previous prime is 27986111. The next prime is 27986117. The reversal of 27986112 is 21168972.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27986111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44037 + ... + 44667.

Almost surely, 2^27986112 is an apocalyptic number.

27986112 is a gapful number since it is divisible by the number (22) 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 27986112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50084736).

27986112 is an abundant number, since it is smaller than the sum of its proper divisors (72183360).

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

27986112 is a wasteful number, since it uses less digits than its factorization.

27986112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 654 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 27986112 is about 5290.1901667142. The cubic root of 27986112 is about 303.6086839471.

The spelling of 27986112 in words is "twenty-seven million, nine hundred eighty-six thousand, one hundred twelve".