13813296 has 80 divisors (see below), whose sum is σ = 41664000. Its totient is φ = 3941952.

The previous prime is 13813237. The next prime is 13813297. The reversal of 13813296 is 69231831.

It is not an unprimeable number, because it can be changed into a prime (13813297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16045 + ... + 16883.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 2^13813296 is an apocalyptic number.

13813296 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 13813296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832000).

13813296 is an abundant number, since it is smaller than the sum of its proper divisors (27850704).

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

13813296 is an equidigital number, since it uses as much as digits as its factorization.

13813296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 851 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 13813296 is about 3716.6242747956. The cubic root of 13813296 is about 239.9380395607.

The spelling of 13813296 in words is "thirteen million, eight hundred thirteen thousand, two hundred ninety-six".