13540040 has 32 divisors (see below), whose sum is σ = 30889080. Its totient is φ = 5340672.

The previous prime is 13540001. The next prime is 13540073. The reversal of 13540040 is 4004531.

13540040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9721924 + 3818116 = 3118^2 + 1954^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 602 + ... + 5238.

Almost surely, 2^13540040 is an apocalyptic number.

13540040 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 13540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15444540).

13540040 is an abundant number, since it is smaller than the sum of its proper divisors (17349040).

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

13540040 is a wasteful number, since it uses less digits than its factorization.

13540040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4721 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 13540040 is about 3679.6793338551. The cubic root of 13540040 is about 238.3453311427.

Adding to 13540040 its reverse (4004531), we get a palindrome (17544571).

The spelling of 13540040 in words is "thirteen million, five hundred forty thousand, forty".