13353696 has 72 divisors (see below), whose sum is σ = 38329200. Its totient is φ = 4409856.

The previous prime is 13353679. The next prime is 13353719. The reversal of 13353696 is 69635331.

13353696 is a `hidden beast` number, since 1 + 33 + 536 + 96 = 666.

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 13353696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57196 + ... + 57428.

It is an arithmetic number, because the mean of its divisors is an integer number (532350).

Almost surely, 2^13353696 is an apocalyptic number.

13353696 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 13353696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19164600).

13353696 is an abundant number, since it is smaller than the sum of its proper divisors (24975504).

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

13353696 is a wasteful number, since it uses less digits than its factorization.

13353696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

The product of its digits is 43740, while the sum is 36.

The square root of 13353696 is about 3654.2709259167. The cubic root of 13353696 is about 237.2468719550.

The spelling of 13353696 in words is "thirteen million, three hundred fifty-three thousand, six hundred ninety-six".