13827240 has 256 divisors, whose sum is σ = 55296000. Its totient is φ = 3006720.

The previous prime is 13827227. The next prime is 13827241. The reversal of 13827240 is 4272831.

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

It is not an unprimeable number, because it can be changed into a prime (13827241) 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 63 ways as a sum of consecutive naturals, for example, 234331 + ... + 234389.

It is an arithmetic number, because the mean of its divisors is an integer number (216000).

Almost surely, 2^13827240 is an apocalyptic number.

13827240 is a gapful number since it is divisible by the number (10) 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 13827240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27648000).

13827240 is an abundant number, since it is smaller than the sum of its proper divisors (41468760).

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

13827240 is a wasteful number, since it uses less digits than its factorization.

13827240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13827240 is about 3718.4996974586. The cubic root of 13827240 is about 240.0187485353.

The spelling of 13827240 in words is "thirteen million, eight hundred twenty-seven thousand, two hundred forty".