13986912 has 48 divisors (see below), whose sum is σ = 37422000. Its totient is φ = 4572672.

The previous prime is 13986901. The next prime is 13986923. The reversal of 13986912 is 21968931.

It is an interprime number because it is at equal distance from previous prime (13986901) and next prime (13986923).

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 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, 3714 + ... + 6462.

It is an arithmetic number, because the mean of its divisors is an integer number (779625).

Almost surely, 2^13986912 is an apocalyptic number.

13986912 is a gapful number since it is divisible by the number (12) 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 13986912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18711000).

13986912 is an abundant number, since it is smaller than the sum of its proper divisors (23435088).

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

13986912 is a wasteful number, since it uses less digits than its factorization.

13986912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2807 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 13986912 is about 3739.9080202593. The cubic root of 13986912 is about 240.9390983776.

The spelling of 13986912 in words is "thirteen million, nine hundred eighty-six thousand, nine hundred twelve".