13485984 has 48 divisors (see below), whose sum is σ = 36015840. Its totient is φ = 4417280.

The previous prime is 13485977. The next prime is 13486001. The reversal of 13485984 is 48958431.

13485984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4474 + ... + 6854.

It is an arithmetic number, because the mean of its divisors is an integer number (750330).

Almost surely, 2^13485984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13485984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18007920).

13485984 is an abundant number, since it is smaller than the sum of its proper divisors (22529856).

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

13485984 is a wasteful number, since it uses less digits than its factorization.

13485984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2445 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 13485984 is about 3672.3267828449. The cubic root of 13485984 is about 238.0277255086.

The spelling of 13485984 in words is "thirteen million, four hundred eighty-five thousand, nine hundred eighty-four".