14185664 has 42 divisors (see below), whose sum is σ = 29497020. Its totient is φ = 6768256.

The previous prime is 14185649. The next prime is 14185679. The reversal of 14185664 is 46658141.

It is an interprime number because it is at equal distance from previous prime (14185649) and next prime (14185679).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33647 + ... + 34065.

It is an arithmetic number, because the mean of its divisors is an integer number (702310).

Almost surely, 2^14185664 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 14185664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14748510).

14185664 is an abundant number, since it is smaller than the sum of its proper divisors (15311356).

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

14185664 is an equidigital number, since it uses as much as digits as its factorization.

14185664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 444 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 14185664 is about 3766.3860662444. The cubic root of 14185664 is about 242.0749716488.

The spelling of 14185664 in words is "fourteen million, one hundred eighty-five thousand, six hundred sixty-four".