14368224 has 96 divisors (see below), whose sum is σ = 42124320. Its totient is φ = 4257792.

The previous prime is 14368223. The next prime is 14368241. The reversal of 14368224 is 42286341.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 14368191 and 14368200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14368223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35994 + ... + 36390.

It is an arithmetic number, because the mean of its divisors is an integer number (438795).

Almost surely, 2^14368224 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 14368224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21062160).

14368224 is an abundant number, since it is smaller than the sum of its proper divisors (27756096).

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

14368224 is a wasteful number, since it uses less digits than its factorization.

14368224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 14368224 is about 3790.5440242794. The cubic root of 14368224 is about 243.1089961336.

The spelling of 14368224 in words is "fourteen million, three hundred sixty-eight thousand, two hundred twenty-four".