13108896 has 72 divisors (see below), whose sum is σ = 38918880. Its totient is φ = 4177536.

The previous prime is 13108847. The next prime is 13108897. The reversal of 13108896 is 69880131.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 13108896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13108897) by changing a digit.

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, 5635 + ... + 7613.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 2^13108896 is an apocalyptic number.

13108896 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 13108896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19459440).

13108896 is an abundant number, since it is smaller than the sum of its proper divisors (25809984).

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

13108896 is a wasteful number, since it uses less digits than its factorization.

13108896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 13108896 is about 3620.6209412199. The cubic root of 13108896 is about 235.7881849363.

The spelling of 13108896 in words is "thirteen million, one hundred eight thousand, eight hundred ninety-six".