13504640 has 32 divisors (see below), whose sum is σ = 32286060. Its totient is φ = 5401600.

The previous prime is 13504597. The next prime is 13504643. The reversal of 13504640 is 4640531.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12902464 + 602176 = 3592^2 + 776^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (13504643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9911 + ... + 11190.

Almost surely, 2^13504640 is an apocalyptic number.

13504640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13504640 is an abundant number, since it is smaller than the sum of its proper divisors (18781420).

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

13504640 is an equidigital number, since it uses as much as digits as its factorization.

13504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21120 (or 21108 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 13504640 is about 3674.8659839510. The cubic root of 13504640 is about 238.1374344515.

The spelling of 13504640 in words is "thirteen million, five hundred four thousand, six hundred forty".