13663120 has 40 divisors (see below), whose sum is σ = 31946616. Its totient is φ = 5434368.

The previous prime is 13663099. The next prime is 13663123. The reversal of 13663120 is 2136631.

It can be written as a sum of positive squares in 4 ways, for example, as 2930944 + 10732176 = 1712^2 + 3276^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13663091 and 13663100.

It is not an unprimeable number, because it can be changed into a prime (13663123) 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, 18274 + ... + 19006.

Almost surely, 2^13663120 is an apocalyptic number.

13663120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13663120 is an abundant number, since it is smaller than the sum of its proper divisors (18283496).

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

13663120 is a wasteful number, since it uses less digits than its factorization.

13663120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 13663120 is about 3696.3657827656. The cubic root of 13663120 is about 239.0653463001.

Adding to 13663120 its reverse (2136631), we get a palindrome (15799751).

The spelling of 13663120 in words is "thirteen million, six hundred sixty-three thousand, one hundred twenty".