14312064 has 128 divisors (see below), whose sum is σ = 42497280. Its totient is φ = 4239360.

The previous prime is 14312047. The next prime is 14312069. The reversal of 14312064 is 46021341.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 14312064.

It is not an unprimeable number, because it can be changed into a prime (14312069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234594 + ... + 234654.

It is an arithmetic number, because the mean of its divisors is an integer number (332010).

Almost surely, 2^14312064 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 14312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248640).

14312064 is an abundant number, since it is smaller than the sum of its proper divisors (28185216).

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

14312064 is a wasteful number, since it uses less digits than its factorization.

14312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 14312064 is about 3783.1288637846. The cubic root of 14312064 is about 242.7918419257.

The spelling of 14312064 in words is "fourteen million, three hundred twelve thousand, sixty-four".