13530240 has 224 divisors, whose sum is σ = 50168700. Its totient is φ = 3483648.

The previous prime is 13530203. The next prime is 13530259. The reversal of 13530240 is 4203531.

It can be written as a sum of positive squares in 2 ways, for example, as 13483584 + 46656 = 3672^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 466546 + ... + 466574.

Almost surely, 2^13530240 is an apocalyptic number.

13530240 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 13530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25084350).

13530240 is an abundant number, since it is smaller than the sum of its proper divisors (36638460).

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

13530240 is an frugal number, since it uses more digits than its factorization.

13530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13530240 is about 3678.3474550401. The cubic root of 13530240 is about 238.2878141289.

Adding to 13530240 its reverse (4203531), we get a palindrome (17733771).

The spelling of 13530240 in words is "thirteen million, five hundred thirty thousand, two hundred forty".