13268736 has 108 divisors (see below), whose sum is σ = 41292888. Its totient is φ = 4073472.

The previous prime is 13268719. The next prime is 13268753. The reversal of 13268736 is 63786231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13268719) and next prime (13268753).

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13268736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29731 + ... + 30173.

Almost surely, 2^13268736 is an apocalyptic number.

13268736 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 13268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20646444).

13268736 is an abundant number, since it is smaller than the sum of its proper divisors (28024152).

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

13268736 is a wasteful number, since it uses less digits than its factorization.

13268736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 461 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13268736 is about 3642.6276230216. The cubic root of 13268736 is about 236.7426571646.

The spelling of 13268736 in words is "thirteen million, two hundred sixty-eight thousand, seven hundred thirty-six".