13824216 has 128 divisors (see below), whose sum is σ = 45158400. Its totient is φ = 3836160.

The previous prime is 13824211. The next prime is 13824227. The reversal of 13824216 is 61242831.

13824216 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 2×13824216² = 382217896029312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13824216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13824211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61881 + ... + 62103.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 2^13824216 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 13824216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22579200).

13824216 is an abundant number, since it is smaller than the sum of its proper divisors (31334184).

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

13824216 is a wasteful number, since it uses less digits than its factorization.

13824216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 13824216 is about 3718.0930596208. The cubic root of 13824216 is about 240.0012499935.

It can be divided in two parts, 13824 and 216, that multiplied together give a 6-th power (2985984 = 12⁶).

The spelling of 13824216 in words is "thirteen million, eight hundred twenty-four thousand, two hundred sixteen".