13287736 has 96 divisors (see below), whose sum is σ = 32749920. Its totient is φ = 4942080.

The previous prime is 13287697. The next prime is 13287737. The reversal of 13287736 is 63778231.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 13287695 and 13287704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13287737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250686 + ... + 250738.

It is an arithmetic number, because the mean of its divisors is an integer number (341145).

Almost surely, 2^13287736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13287736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374960).

13287736 is an abundant number, since it is smaller than the sum of its proper divisors (19462184).

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

13287736 is a wasteful number, since it uses less digits than its factorization.

13287736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its digits is 42336, while the sum is 37.

The square root of 13287736 is about 3645.2346975195. The cubic root of 13287736 is about 236.8556034967.

13287736 divided by its sum of digits (37) gives a triangular number (359128 = T₈₄₇).

The spelling of 13287736 in words is "thirteen million, two hundred eighty-seven thousand, seven hundred thirty-six".