13361440 has 72 divisors (see below), whose sum is σ = 32974452. Its totient is φ = 5114880.

The previous prime is 13361437. The next prime is 13361441. The reversal of 13361440 is 4416331.

It can be written as a sum of positive squares in 6 ways, for example, as 7772944 + 5588496 = 2788^2 + 2364^2 .

It is not an unprimeable number, because it can be changed into a prime (13361441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219010 + ... + 219070.

Almost surely, 2^13361440 is an apocalyptic number.

13361440 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 13361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16487226).

13361440 is an abundant number, since it is smaller than the sum of its proper divisors (19613012).

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

13361440 is an equidigital number, since it uses as much as digits as its factorization.

13361440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 13361440 is about 3655.3303544276. The cubic root of 13361440 is about 237.2927240482.

Adding to 13361440 its reverse (4416331), we get a palindrome (17777771).

The spelling of 13361440 in words is "thirteen million, three hundred sixty-one thousand, four hundred forty".