13368096 has 144 divisors (see below), whose sum is σ = 45864000. Its totient is φ = 3608064.

The previous prime is 13368073. The next prime is 13368107. The reversal of 13368096 is 69086331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 13368096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38130 + ... + 38478.

It is an arithmetic number, because the mean of its divisors is an integer number (318500).

Almost surely, 2^13368096 is an apocalyptic number.

13368096 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 13368096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22932000).

13368096 is an abundant number, since it is smaller than the sum of its proper divisors (32495904).

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

13368096 is a wasteful number, since it uses less digits than its factorization.

13368096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 13368096 is about 3656.2406922958. The cubic root of 13368096 is about 237.3321199562.

The spelling of 13368096 in words is "thirteen million, three hundred sixty-eight thousand, ninety-six".