13496768 has 56 divisors (see below), whose sum is σ = 28639008. Its totient is φ = 6296576.

The previous prime is 13496753. The next prime is 13496843. The reversal of 13496768 is 86769431.

13496768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13496768³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77930 + ... + 78102.

Almost surely, 2^13496768 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 13496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14319504).

13496768 is an abundant number, since it is smaller than the sum of its proper divisors (15142240).

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

13496768 is a wasteful number, since it uses less digits than its factorization.

13496768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 13496768 is about 3673.7947683560. The cubic root of 13496768 is about 238.0911545001.

The spelling of 13496768 in words is "thirteen million, four hundred ninety-six thousand, seven hundred sixty-eight".