13823120 has 40 divisors (see below), whose sum is σ = 32408640. Its totient is φ = 5482880.

The previous prime is 13823119. The next prime is 13823129. The reversal of 13823120 is 2132831.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13823092 and 13823101.

It is not an unprimeable number, because it can be changed into a prime (13823129) 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 7 ways as a sum of consecutive naturals, for example, 9821 + ... + 11139.

It is an arithmetic number, because the mean of its divisors is an integer number (810216).

Almost surely, 2^13823120 is an apocalyptic number.

13823120 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 13823120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204320).

13823120 is an abundant number, since it is smaller than the sum of its proper divisors (18585520).

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

13823120 is a wasteful number, since it uses less digits than its factorization.

13823120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 13823120 is about 3717.9456693179. The cubic root of 13823120 is about 239.9949072993.

Adding to 13823120 its reverse (2132831), we get a palindrome (15955951).

The spelling of 13823120 in words is "thirteen million, eight hundred twenty-three thousand, one hundred twenty".