13535320 has 16 divisors (see below), whose sum is σ = 30454560. Its totient is φ = 5414112.

The previous prime is 13535317. The next prime is 13535321. The reversal of 13535320 is 2353531.

It is a happy number.

It is a super-3 number, since 3×13535320³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13535291 and 13535300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13535321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 169152 + ... + 169231.

It is an arithmetic number, because the mean of its divisors is an integer number (1903410).

Almost surely, 2^13535320 is an apocalyptic number.

13535320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13535320 is an abundant number, since it is smaller than the sum of its proper divisors (16919240).

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

13535320 is a wasteful number, since it uses less digits than its factorization.

13535320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338394 (or 338390 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 13535320 is about 3679.0379177171. The cubic root of 13535320 is about 238.3176325365.

Adding to 13535320 its reverse (2353531), we get a palindrome (15888851).

The spelling of 13535320 in words is "thirteen million, five hundred thirty-five thousand, three hundred twenty".