13518640 has 40 divisors (see below), whose sum is σ = 32520240. Its totient is φ = 5220096.

The previous prime is 13518623. The next prime is 13518649. The reversal of 13518640 is 4681531.

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

It is a junction number, because it is equal to n+sod(n) for n = 13518599 and 13518608.

It is not an unprimeable number, because it can be changed into a prime (13518649) 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 7 ways as a sum of consecutive naturals, for example, 594 + ... + 5233.

It is an arithmetic number, because the mean of its divisors is an integer number (813006).

Almost surely, 2^13518640 is an apocalyptic number.

13518640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13518640 is an abundant number, since it is smaller than the sum of its proper divisors (19001600).

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

13518640 is a wasteful number, since it uses less digits than its factorization.

13518640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5869 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 13518640 is about 3676.7703218994. The cubic root of 13518640 is about 238.2196968609.

The spelling of 13518640 in words is "thirteen million, five hundred eighteen thousand, six hundred forty".