13264896 has 96 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 4128768.

The previous prime is 13264891. The next prime is 13264921. The reversal of 13264896 is 69846231.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13264891) 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 7 ways as a sum of consecutive naturals, for example, 104385 + ... + 104511.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^13264896 is an apocalyptic number.

13264896 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 13264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

13264896 is an abundant number, since it is smaller than the sum of its proper divisors (24474624).

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

13264896 is a wasteful number, since it uses less digits than its factorization.

13264896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 13264896 is about 3642.1004928475. The cubic root of 13264896 is about 236.7198170208.

The spelling of 13264896 in words is "thirteen million, two hundred sixty-four thousand, eight hundred ninety-six".