13852256 has 96 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 5716480.

The previous prime is 13852253. The next prime is 13852277. The reversal of 13852256 is 65225831.

13852256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13852253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234755 + ... + 234813.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^13852256 is an apocalyptic number.

13852256 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 13852256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

13852256 is an abundant number, since it is smaller than the sum of its proper divisors (18806944).

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

13852256 is a wasteful number, since it uses less digits than its factorization.

13852256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 13852256 is about 3721.8618996411. The cubic root of 13852256 is about 240.1634072352.

The spelling of 13852256 in words is "thirteen million, eight hundred fifty-two thousand, two hundred fifty-six".