13803120 has 120 divisors (see below), whose sum is σ = 48843600. Its totient is φ = 3483648.

The previous prime is 13803089. The next prime is 13803121. The reversal of 13803120 is 2130831.

13803120 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 (120).

It is a super-2 number, since 2×13803120² = 381052243468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13803093 and 13803102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13803121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13176 + ... + 14184.

It is an arithmetic number, because the mean of its divisors is an integer number (407030).

Almost surely, 2^13803120 is an apocalyptic number.

13803120 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 13803120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24421800).

13803120 is an abundant number, since it is smaller than the sum of its proper divisors (35040480).

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

13803120 is a wasteful number, since it uses less digits than its factorization.

13803120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13803120 is about 3715.2550383520. The cubic root of 13803120 is about 239.8791057793.

Adding to 13803120 its reverse (2130831), we get a palindrome (15933951).

The spelling of 13803120 in words is "thirteen million, eight hundred three thousand, one hundred twenty".