13007440 has 20 divisors (see below), whose sum is σ = 30242484. Its totient is φ = 5202944.

The previous prime is 13007437. The next prime is 13007441. The reversal of 13007440 is 4470031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3594816 + 9412624 = 1896^2 + 3068^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13007441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81217 + ... + 81376.

Almost surely, 2^13007440 is an apocalyptic number.

13007440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13007440 is an abundant number, since it is smaller than the sum of its proper divisors (17235044).

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

13007440 is a wasteful number, since it uses less digits than its factorization.

13007440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162606 (or 162600 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 13007440 is about 3606.5828702527. The cubic root of 13007440 is about 235.1783164486.

Adding to 13007440 its reverse (4470031), we get a palindrome (17477471).

The spelling of 13007440 in words is "thirteen million, seven thousand, four hundred forty".