13540440 has 64 divisors (see below), whose sum is σ = 41407200. Its totient is φ = 3540992.

The previous prime is 13540433. The next prime is 13540463. The reversal of 13540440 is 4404531.

13540440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 5296 + ... + 7424.

Almost surely, 2^13540440 is an apocalyptic number.

13540440 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 13540440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20703600).

13540440 is an abundant number, since it is smaller than the sum of its proper divisors (27866760).

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

13540440 is a wasteful number, since it uses less digits than its factorization.

13540440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 13540440 is about 3679.7336860159. The cubic root of 13540440 is about 238.3476781864.

Adding to 13540440 its reverse (4404531), we get a palindrome (17944971).

The spelling of 13540440 in words is "thirteen million, five hundred forty thousand, four hundred forty".