13822320 has 40 divisors (see below), whose sum is σ = 42849936. Its totient is φ = 3685888.

The previous prime is 13822297. The next prime is 13822327. The reversal of 13822320 is 2322831.

13822320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13822327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28557 + ... + 29036.

Almost surely, 2^13822320 is an apocalyptic number.

13822320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13822320 is an abundant number, since it is smaller than the sum of its proper divisors (29027616).

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

13822320 is a wasteful number, since it uses less digits than its factorization.

13822320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57609 (or 57603 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13822320 is about 3717.8380814662. The cubic root of 13822320 is about 239.9902773839.

The spelling of 13822320 in words is "thirteen million, eight hundred twenty-two thousand, three hundred twenty".