14291968 has 44 divisors (see below), whose sum is σ = 30287412. Its totient is φ = 6717440.

The previous prime is 14291939. The next prime is 14292001. The reversal of 14291968 is 86919241.

It can be written as a sum of positive squares in 2 ways, for example, as 7573504 + 6718464 = 2752^2 + 2592^2 .

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 14291968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16998 + ... + 17818.

Almost surely, 2^14291968 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 14291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15143706).

14291968 is an abundant number, since it is smaller than the sum of its proper divisors (15995444).

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

14291968 is an equidigital number, since it uses as much as digits as its factorization.

14291968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 840 counting only the distinct ones).

The product of its digits is 31104, while the sum is 40.

The square root of 14291968 is about 3780.4719282121. The cubic root of 14291968 is about 242.6781515851.

The spelling of 14291968 in words is "fourteen million, two hundred ninety-one thousand, nine hundred sixty-eight".