13713696 has 72 divisors (see below), whose sum is σ = 41307084. Its totient is φ = 4300800.

The previous prime is 13713683. The next prime is 13713701. The reversal of 13713696 is 69631731.

It can be written as a sum of positive squares in 2 ways, for example, as 13395600 + 318096 = 3660^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13713696.

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 11 ways as a sum of consecutive naturals, for example, 3496 + ... + 6296.

Almost surely, 2^13713696 is an apocalyptic number.

13713696 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 13713696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20653542).

13713696 is an abundant number, since it is smaller than the sum of its proper divisors (27593388).

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

13713696 is a wasteful number, since it uses less digits than its factorization.

13713696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2823 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 13713696 is about 3703.2007777057. The cubic root of 13713696 is about 239.3599613110.

The spelling of 13713696 in words is "thirteen million, seven hundred thirteen thousand, six hundred ninety-six".