13253856 has 144 divisors (see below), whose sum is σ = 43972992. Its totient is φ = 3421440.

The previous prime is 13253843. The next prime is 13253857. The reversal of 13253856 is 65835231.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13253857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81231 + ... + 81393.

It is an arithmetic number, because the mean of its divisors is an integer number (305368).

Almost surely, 2^13253856 is an apocalyptic number.

13253856 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 13253856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21986496).

13253856 is an abundant number, since it is smaller than the sum of its proper divisors (30719136).

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

13253856 is a wasteful number, since it uses less digits than its factorization.

13253856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 13253856 is about 3640.5845684450. The cubic root of 13253856 is about 236.6541270440.

The spelling of 13253856 in words is "thirteen million, two hundred fifty-three thousand, eight hundred fifty-six".