13985048 has 64 divisors (see below), whose sum is σ = 33246720. Its totient is φ = 5356800.

The previous prime is 13985039. The next prime is 13985051. The reversal of 13985048 is 84058931.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 44813 + ... + 45123.

It is an arithmetic number, because the mean of its divisors is an integer number (519480).

Almost surely, 2^13985048 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 13985048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623360).

13985048 is an abundant number, since it is smaller than the sum of its proper divisors (19261672).

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

13985048 is a wasteful number, since it uses less digits than its factorization.

13985048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 13985048 is about 3739.6588079663. The cubic root of 13985048 is about 240.9283947896.

It can be divided in two parts, 1398 and 5048, that added together give a palindrome (6446).

The spelling of 13985048 in words is "thirteen million, nine hundred eighty-five thousand, forty-eight".