27827240 has 128 divisors (see below), whose sum is σ = 77760000. Its totient is φ = 8752128.

The previous prime is 27827221. The next prime is 27827273. The reversal of 27827240 is 4272872.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27827197 and 27827206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186686 + ... + 186834.

It is an arithmetic number, because the mean of its divisors is an integer number (607500).

Almost surely, 2^27827240 is an apocalyptic number.

27827240 is a gapful number since it is divisible by the number (20) 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 27827240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880000).

27827240 is an abundant number, since it is smaller than the sum of its proper divisors (49932760).

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

27827240 is a wasteful number, since it uses less digits than its factorization.

27827240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 27827240 is about 5275.1530783476. The cubic root of 27827240 is about 303.0330831947.

The spelling of 27827240 in words is "twenty-seven million, eight hundred twenty-seven thousand, two hundred forty".