14084664 has 64 divisors (see below), whose sum is σ = 39674880. Its totient is φ = 4128000.

The previous prime is 14084663. The next prime is 14084677. The reversal of 14084664 is 46648041.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14084663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7324 + ... + 9044.

It is an arithmetic number, because the mean of its divisors is an integer number (619920).

Almost surely, 2^14084664 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 14084664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19837440).

14084664 is an abundant number, since it is smaller than the sum of its proper divisors (25590216).

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

14084664 is a wasteful number, since it uses less digits than its factorization.

14084664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 14084664 is about 3752.9540364891. The cubic root of 14084664 is about 241.4990891092.

The spelling of 14084664 in words is "fourteen million, eighty-four thousand, six hundred sixty-four".