13846224 has 120 divisors (see below), whose sum is σ = 43201600. Its totient is φ = 3819648.

The previous prime is 13846223. The next prime is 13846267. The reversal of 13846224 is 42264831.

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 = 13846191 and 13846200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13846223) 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 23 ways as a sum of consecutive naturals, for example, 477442 + ... + 477470.

Almost surely, 2^13846224 is an apocalyptic number.

13846224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13846224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600800).

13846224 is an abundant number, since it is smaller than the sum of its proper divisors (29355376).

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

13846224 is an equidigital number, since it uses as much as digits as its factorization.

13846224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 41 counting only the distinct ones).

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

The square root of 13846224 is about 3721.0514643041. The cubic root of 13846224 is about 240.1285422525.

The spelling of 13846224 in words is "thirteen million, eight hundred forty-six thousand, two hundred twenty-four".