14275968 has 128 divisors (see below), whose sum is σ = 44651520. Its totient is φ = 3956736.

The previous prime is 14275951. The next prime is 14275979. The reversal of 14275968 is 86957241.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 126280 + ... + 126392.

It is an arithmetic number, because the mean of its divisors is an integer number (348840).

Almost surely, 2^14275968 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 14275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22325760).

14275968 is an abundant number, since it is smaller than the sum of its proper divisors (30375552).

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

14275968 is a wasteful number, since it uses less digits than its factorization.

14275968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 14275968 is about 3778.3551977018. The cubic root of 14275968 is about 242.5875575701.

The spelling of 14275968 in words is "fourteen million, two hundred seventy-five thousand, nine hundred sixty-eight".