13824204 has 48 divisors (see below), whose sum is σ = 33374208. Its totient is φ = 4451328.

The previous prime is 13824169. The next prime is 13824211. The reversal of 13824204 is 40242831.

13824204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13824204² = 382217232467232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71532 + ... + 71724.

It is an arithmetic number, because the mean of its divisors is an integer number (695296).

Almost surely, 2^13824204 is an apocalyptic number.

It is an amenable number.

13824204 is an abundant number, since it is smaller than the sum of its proper divisors (19550004).

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

13824204 is a wasteful number, since it uses less digits than its factorization.

13824204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 13824204 is about 3718.0914458899. The cubic root of 13824204 is about 240.0011805497.

It can be divided in two parts, 13824 and 204, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 13824204 in words is "thirteen million, eight hundred twenty-four thousand, two hundred four".