13653120 has 128 divisors (see below), whose sum is σ = 46952640. Its totient is φ = 3354624.

The previous prime is 13653109. The next prime is 13653127. The reversal of 13653120 is 2135631.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (13653127) 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 15 ways as a sum of consecutive naturals, for example, 24687 + ... + 25233.

Almost surely, 2^13653120 is an apocalyptic number.

13653120 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 13653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23476320).

13653120 is an abundant number, since it is smaller than the sum of its proper divisors (33299520).

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

13653120 is a wasteful number, since it uses less digits than its factorization.

13653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 13653120 is about 3695.0128551874. The cubic root of 13653120 is about 239.0070083086.

Adding to 13653120 its reverse (2135631), we get a palindrome (15788751).

The spelling of 13653120 in words is "thirteen million, six hundred fifty-three thousand, one hundred twenty".