13287936 has 80 divisors (see below), whose sum is σ = 36435168. Its totient is φ = 4300800.

The previous prime is 13287917. The next prime is 13287941. The reversal of 13287936 is 63978231.

It is a junction number, because it is equal to n+sod(n) for n = 13287894 and 13287903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62871 + ... + 63081.

Almost surely, 2^13287936 is an apocalyptic number.

13287936 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 13287936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18217584).

13287936 is an abundant number, since it is smaller than the sum of its proper divisors (23147232).

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

13287936 is an equidigital number, since it uses as much as digits as its factorization.

13287936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 13287936 is about 3645.2621304921. The cubic root of 13287936 is about 236.8567918326.

The spelling of 13287936 in words is "thirteen million, two hundred eighty-seven thousand, nine hundred thirty-six".