13388240 has 40 divisors (see below), whose sum is σ = 31424328. Its totient is φ = 5304320.

The previous prime is 13388201. The next prime is 13388261. The reversal of 13388240 is 4288331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21904 + 13366336 = 148^2 + 3656^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 8300 + ... + 9780.

Almost surely, 2^13388240 is an apocalyptic number.

13388240 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 13388240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15712164).

13388240 is an abundant number, since it is smaller than the sum of its proper divisors (18036088).

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

13388240 is a wasteful number, since it uses less digits than its factorization.

13388240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 13388240 is about 3658.9943973720. The cubic root of 13388240 is about 237.4512697806.

Subtracting from 13388240 its reverse (4288331), we obtain a palindrome (9099909).

The spelling of 13388240 in words is "thirteen million, three hundred eighty-eight thousand, two hundred forty".