13535040 has 112 divisors (see below), whose sum is σ = 44915328. Its totient is φ = 3446784.

The previous prime is 13535033. The next prime is 13535057. The reversal of 13535040 is 4053531.

It is a Cunningham number, because it is equal to 3679²-1.

It is a junction number, because it is equal to n+sod(n) for n = 13534998 and 13535016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21774 + ... + 22386.

Almost surely, 2^13535040 is an apocalyptic number.

13535040 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 13535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22457664).

13535040 is an abundant number, since it is smaller than the sum of its proper divisors (31380288).

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

13535040 is a wasteful number, since it uses less digits than its factorization.

13535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 13535040 is about 3678.9998640935. Note that the first 3 decimals coincide. The cubic root of 13535040 is about 238.3159891965.

Adding to 13535040 its reverse (4053531), we get a palindrome (17588571).

The spelling of 13535040 in words is "thirteen million, five hundred thirty-five thousand, forty".