13007984 has 30 divisors (see below), whose sum is σ = 27706560. Its totient is φ = 5911840.

The previous prime is 13007971. The next prime is 13007987. The reversal of 13007984 is 48970031.

13007984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13007984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13007987) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1424 + ... + 5295.

It is an arithmetic number, because the mean of its divisors is an integer number (923552).

Almost surely, 2^13007984 is an apocalyptic number.

It is an amenable number.

13007984 is an abundant number, since it is smaller than the sum of its proper divisors (14698576).

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

13007984 is a wasteful number, since it uses less digits than its factorization.

13007984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6749 (or 6732 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 13007984 is about 3606.6582871129. The cubic root of 13007984 is about 235.1815949625.

The spelling of 13007984 in words is "thirteen million, seven thousand, nine hundred eighty-four".