13909368 has 128 divisors (see below), whose sum is σ = 41472000. Its totient is φ = 3841920.

The previous prime is 13909367. The next prime is 13909369. The reversal of 13909368 is 86390931.

It is an interprime number because it is at equal distance from previous prime (13909367) and next prime (13909369).

It is a super-3 number, since 3×13909368³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13909361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 235723 + ... + 235781.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 2^13909368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13909368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736000).

13909368 is an abundant number, since it is smaller than the sum of its proper divisors (27562632).

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

13909368 is a wasteful number, since it uses less digits than its factorization.

13909368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 13909368 is about 3729.5265115025. The cubic root of 13909368 is about 240.4930143213.

The spelling of 13909368 in words is "thirteen million, nine hundred nine thousand, three hundred sixty-eight".