14013824 has 64 divisors (see below), whose sum is σ = 31395600. Its totient is φ = 6174720.

The previous prime is 14013823. The next prime is 14013833. The reversal of 14013824 is 42831041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 14013824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013821) 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 7 ways as a sum of consecutive naturals, for example, 51962 + ... + 52230.

Almost surely, 2^14013824 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 14013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15697800).

14013824 is an abundant number, since it is smaller than the sum of its proper divisors (17381776).

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

14013824 is a wasteful number, since it uses less digits than its factorization.

14013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 14013824 is about 3743.5042406815. The cubic root of 14013824 is about 241.0935284327.

Adding to 14013824 its reverse (42831041), we get a palindrome (56844865).

It can be divided in two parts, 1401 and 3824, that added together give a palindrome (5225).

The spelling of 14013824 in words is "fourteen million, thirteen thousand, eight hundred twenty-four".