13873024 has 64 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 6161920.

The previous prime is 13873019. The next prime is 13873051. The reversal of 13873024 is 42037831.

13873024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 13872983 and 13873001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82989 + ... + 83155.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 2^13873024 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 13873024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

13873024 is an abundant number, since it is smaller than the sum of its proper divisors (16971776).

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

13873024 is a wasteful number, since it uses less digits than its factorization.

13873024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 13873024 is about 3724.6508561206. The cubic root of 13873024 is about 240.2833689971.

The spelling of 13873024 in words is "thirteen million, eight hundred seventy-three thousand, twenty-four".