13820224 has 56 divisors (see below), whose sum is σ = 30467808. Its totient is φ = 6167040.

The previous prime is 13820189. The next prime is 13820237. The reversal of 13820224 is 42202831.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13820195 and 13820204.

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, 47022 + ... + 47314.

It is an arithmetic number, because the mean of its divisors is an integer number (544068).

Almost surely, 2^13820224 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 13820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233904).

13820224 is an abundant number, since it is smaller than the sum of its proper divisors (16647584).

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

13820224 is a wasteful number, since it uses less digits than its factorization.

13820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 13820224 is about 3717.5561865290. The cubic root of 13820224 is about 239.9781461582.

The spelling of 13820224 in words is "thirteen million, eight hundred twenty thousand, two hundred twenty-four".