13861120 has 216 divisors, whose sum is σ = 44040024. Its totient is φ = 4128768.

The previous prime is 13861109. The next prime is 13861121. The reversal of 13861120 is 2116831.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 12845056 = 1008^2 + 3584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13861091 and 13861100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13861121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 815352 + ... + 815368.

It is an arithmetic number, because the mean of its divisors is an integer number (203889).

Almost surely, 2^13861120 is an apocalyptic number.

13861120 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 13861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22020012).

13861120 is an abundant number, since it is smaller than the sum of its proper divisors (30178904).

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

13861120 is a wasteful number, since it uses less digits than its factorization.

13861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 13861120 is about 3723.0525110452. The cubic root of 13861120 is about 240.2146228286.

Adding to 13861120 its reverse (2116831), we get a palindrome (15977951).

The spelling of 13861120 in words is "thirteen million, eight hundred sixty-one thousand, one hundred twenty".