13427856 has 100 divisors (see below), whose sum is σ = 41906172. Its totient is φ = 4126464.

The previous prime is 13427833. The next prime is 13427861. The reversal of 13427856 is 65872431.

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 9363600 = 2016^2 + 3060^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 13427856.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16450 + ... + 17246.

Almost surely, 2^13427856 is an apocalyptic number.

13427856 is a gapful number since it is divisible by the number (16) 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 13427856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20953086).

13427856 is an abundant number, since it is smaller than the sum of its proper divisors (28478316).

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

13427856 is a wasteful number, since it uses less digits than its factorization.

13427856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 815 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13427856 is about 3664.4039078682. The cubic root of 13427856 is about 237.6852464241.

The spelling of 13427856 in words is "thirteen million, four hundred twenty-seven thousand, eight hundred fifty-six".