13684736 has 52 divisors (see below), whose sum is σ = 29585892. Its totient is φ = 6291456.

The previous prime is 13684717. The next prime is 13684739. The reversal of 13684736 is 63748631.

It can be written as a sum of positive squares in 2 ways, for example, as 8667136 + 5017600 = 2944^2 + 2240^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is a self number, because there is not a number n which added to its sum of digits gives 13684736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13684739) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53120 + ... + 53376.

Almost surely, 2^13684736 is an apocalyptic number.

13684736 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 13684736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14792946).

13684736 is an abundant number, since it is smaller than the sum of its proper divisors (15901156).

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

13684736 is an equidigital number, since it uses as much as digits as its factorization.

13684736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 272 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 13684736 is about 3699.2885802543. The cubic root of 13684736 is about 239.1913525060.

The spelling of 13684736 in words is "thirteen million, six hundred eighty-four thousand, seven hundred thirty-six".