27914256 has 60 divisors (see below), whose sum is σ = 78705900. Its totient is φ = 9235200.

The previous prime is 27914209. The next prime is 27914273. The reversal of 27914256 is 65241972.

It can be written as a sum of positive squares in 2 ways, for example, as 1040400 + 26873856 = 1020^2 + 5184^2 .

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 27914256.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20806 + ... + 22106.

It is an arithmetic number, because the mean of its divisors is an integer number (1311765).

Almost surely, 2^27914256 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 27914256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39352950).

27914256 is an abundant number, since it is smaller than the sum of its proper divisors (50791644).

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

27914256 is a wasteful number, since it uses less digits than its factorization.

27914256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1455 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 27914256 is about 5283.3943634751. The cubic root of 27914256 is about 303.3486168150.

It can be divided in two parts, 279 and 14256, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 27914256 in words is "twenty-seven million, nine hundred fourteen thousand, two hundred fifty-six".