13285944 has 160 divisors (see below), whose sum is σ = 44431200. Its totient is φ = 3628800.

The previous prime is 13285933. The next prime is 13285963. The reversal of 13285944 is 44958231.

13285944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13285944² = 353032615942272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13285899 and 13285908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131494 + ... + 131594.

It is an arithmetic number, because the mean of its divisors is an integer number (277695).

Almost surely, 2^13285944 is an apocalyptic number.

13285944 is a gapful number since it is divisible by the number (14) 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 13285944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22215600).

13285944 is an abundant number, since it is smaller than the sum of its proper divisors (31145256).

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

13285944 is a wasteful number, since it uses less digits than its factorization.

13285944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13285944 is about 3644.9888888720. The cubic root of 13285944 is about 236.8449554745.

The spelling of 13285944 in words is "thirteen million, two hundred eighty-five thousand, nine hundred forty-four".