13824120 has 32 divisors (see below), whose sum is σ = 41472720. Its totient is φ = 3686400.

The previous prime is 13824119. The next prime is 13824121. The reversal of 13824120 is 2142831.

13824120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13824119) and next prime (13824121).

It is a super-2 number, since 2×13824120² = 382212587548800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13824121) 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, 57481 + ... + 57720.

Almost surely, 2^13824120 is an apocalyptic number.

13824120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13824120 is an abundant number, since it is smaller than the sum of its proper divisors (27648600).

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

13824120 is a wasteful number, since it uses less digits than its factorization.

13824120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115215 (or 115211 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 13824120 is about 3718.0801497547. The cubic root of 13824120 is about 240.0006944424. Note that the first 3 decimals are identical.

Adding to 13824120 its reverse (2142831), we get a palindrome (15966951).

The spelling of 13824120 in words is "thirteen million, eight hundred twenty-four thousand, one hundred twenty".