27914112 has 128 divisors (see below), whose sum is σ = 84823200. Its totient is φ = 9031680.

The previous prime is 27914101. The next prime is 27914113. The reversal of 27914112 is 21141972.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27914113) 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 15 ways as a sum of consecutive naturals, for example, 141598 + ... + 141794.

Almost surely, 2^27914112 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 27914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42411600).

27914112 is an abundant number, since it is smaller than the sum of its proper divisors (56909088).

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

27914112 is a wasteful number, since it uses less digits than its factorization.

27914112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 243 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 27914112 is about 5283.3807358546. The cubic root of 27914112 is about 303.3480951906.

It can be divided in two parts, 2791 and 4112, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 27914112 in words is "twenty-seven million, nine hundred fourteen thousand, one hundred twelve".