13986624 has 56 divisors (see below), whose sum is σ = 37437568. Its totient is φ = 4608000.

The previous prime is 13986619. The next prime is 13986649. The reversal of 13986624 is 42668931.

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, 18249 + ... + 18999.

It is an arithmetic number, because the mean of its divisors is an integer number (668528).

Almost surely, 2^13986624 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 13986624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18718784).

13986624 is an abundant number, since it is smaller than the sum of its proper divisors (23450944).

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

13986624 is an equidigital number, since it uses as much as digits as its factorization.

13986624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 853 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 13986624 is about 3739.8695164404. The cubic root of 13986624 is about 240.9374446665.

The spelling of 13986624 in words is "thirteen million, nine hundred eighty-six thousand, six hundred twenty-four".