13915296 has 72 divisors (see below), whose sum is σ = 41670720. Its totient is φ = 4392576.

The previous prime is 13915271. The next prime is 13915301. The reversal of 13915296 is 69251931.

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 13915296.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4201 + ... + 6743.

It is an arithmetic number, because the mean of its divisors is an integer number (578760).

Almost surely, 2^13915296 is an apocalyptic number.

13915296 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 13915296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835360).

13915296 is an abundant number, since it is smaller than the sum of its proper divisors (27755424).

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

13915296 is a wasteful number, since it uses less digits than its factorization.

13915296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2567 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 13915296 is about 3730.3211657979. The cubic root of 13915296 is about 240.5271745148.

The spelling of 13915296 in words is "thirteen million, nine hundred fifteen thousand, two hundred ninety-six".