27766112 has 72 divisors (see below), whose sum is σ = 61535376. Its totient is φ = 12320000.

The previous prime is 27766093. The next prime is 27766127. The reversal of 27766112 is 21166772.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 274862 + ... + 274962.

It is an arithmetic number, because the mean of its divisors is an integer number (854658).

Almost surely, 2^27766112 is an apocalyptic number.

27766112 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 27766112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30767688).

27766112 is an abundant number, since it is smaller than the sum of its proper divisors (33769264).

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

27766112 is a wasteful number, since it uses less digits than its factorization.

27766112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its digits is 7056, while the sum is 32.

The square root of 27766112 is about 5269.3559378732. The cubic root of 27766112 is about 302.8110299522.

It can be divided in two parts, 2776 and 6112, that added together give a palindrome (8888).

The spelling of 27766112 in words is "twenty-seven million, seven hundred sixty-six thousand, one hundred twelve".