13985216 has 112 divisors (see below), whose sum is σ = 35112960. Its totient is φ = 5391360.

The previous prime is 13985189. The next prime is 13985233. The reversal of 13985216 is 61258931.

It is a tau number, because it is divible by the number of its divisors (112).

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, 263846 + ... + 263898.

Almost surely, 2^13985216 is an apocalyptic number.

13985216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13985216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).

13985216 is an abundant number, since it is smaller than the sum of its proper divisors (21127744).

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

13985216 is a wasteful number, since it uses less digits than its factorization.

13985216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its digits is 12960, while the sum is 35.

The square root of 13985216 is about 3739.6812698411. The cubic root of 13985216 is about 240.9293595297.

The spelling of 13985216 in words is "thirteen million, nine hundred eighty-five thousand, two hundred sixteen".