13909824 has 168 divisors, whose sum is σ = 44378880. Its totient is φ = 4147200.

The previous prime is 13909813. The next prime is 13909829. The reversal of 13909824 is 42890931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13909829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339244 + ... + 339284.

It is an arithmetic number, because the mean of its divisors is an integer number (264160).

Almost surely, 2^13909824 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 13909824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22189440).

13909824 is an abundant number, since it is smaller than the sum of its proper divisors (30469056).

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

13909824 is a wasteful number, since it uses less digits than its factorization.

13909824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 13909824 is about 3729.5876447672. The cubic root of 13909824 is about 240.4956423730.

The spelling of 13909824 in words is "thirteen million, nine hundred nine thousand, eight hundred twenty-four".