13993824 has 48 divisors (see below), whose sum is σ = 39562992. Its totient is φ = 4305408.

The previous prime is 13993801. The next prime is 13993829. The reversal of 13993824 is 42839931.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13993824² = 391654220285952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13993829) 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, 4359 + ... + 6854.

It is an arithmetic number, because the mean of its divisors is an integer number (824229).

Almost surely, 2^13993824 is an apocalyptic number.

It is an amenable number.

13993824 is an abundant number, since it is smaller than the sum of its proper divisors (25569168).

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

13993824 is a wasteful number, since it uses less digits than its factorization.

13993824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11239 (or 11231 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 13993824 is about 3740.8319930197. The cubic root of 13993824 is about 240.9787806366.

The spelling of 13993824 in words is "thirteen million, nine hundred ninety-three thousand, eight hundred twenty-four".