13530440 has 128 divisors (see below), whose sum is σ = 39813120. Its totient is φ = 4012800.

The previous prime is 13530421. The next prime is 13530457. The reversal of 13530440 is 4403531.

13530440 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

13530440 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70745 + ... + 70935.

It is an arithmetic number, because the mean of its divisors is an integer number (311040).

Almost surely, 2^13530440 is an apocalyptic number.

13530440 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 13530440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19906560).

13530440 is an abundant number, since it is smaller than the sum of its proper divisors (26282680).

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

13530440 is a wasteful number, since it uses less digits than its factorization.

13530440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 13530440 is about 3678.3746410609. The cubic root of 13530440 is about 238.2889882231.

Adding to 13530440 its reverse (4403531), we get a palindrome (17933971).

The spelling of 13530440 in words is "thirteen million, five hundred thirty thousand, four hundred forty".