13440120 has 64 divisors (see below), whose sum is σ = 41195520. Its totient is φ = 3506304.

The previous prime is 13440109. The next prime is 13440121. The reversal of 13440120 is 2104431.

It is a super-2 number, since 2×13440120² = 361273651228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13440120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440121) 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 15 ways as a sum of consecutive naturals, for example, 4449 + ... + 6831.

It is an arithmetic number, because the mean of its divisors is an integer number (643680).

Almost surely, 2^13440120 is an apocalyptic number.

13440120 is a gapful number since it is divisible by the number (10) 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 13440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20597760).

13440120 is an abundant number, since it is smaller than the sum of its proper divisors (27755400).

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

13440120 is a wasteful number, since it uses less digits than its factorization.

13440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 13440120 is about 3666.0769222699. The cubic root of 13440120 is about 237.7575857182.

Adding to 13440120 its reverse (2104431), we get a palindrome (15544551).

It can be divided in two parts, 134401 and 20, that added together give a triangular number (134421 = T₅₁₈).

The spelling of 13440120 in words is "thirteen million, four hundred forty thousand, one hundred twenty".