14679168 has 128 divisors (see below), whose sum is σ = 45957120. Its totient is φ = 4064256.

The previous prime is 14679167. The next prime is 14679169. The reversal of 14679168 is 86197641.

It is an interprime number because it is at equal distance from previous prime (14679167) and next prime (14679169).

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 not an unprimeable number, because it can be changed into a prime (14679167) 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, 115521 + ... + 115647.

It is an arithmetic number, because the mean of its divisors is an integer number (359040).

Almost surely, 2^14679168 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 14679168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22978560).

14679168 is an abundant number, since it is smaller than the sum of its proper divisors (31277952).

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

14679168 is a wasteful number, since it uses less digits than its factorization.

14679168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 14679168 is about 3831.3402354790. The cubic root of 14679168 is about 244.8502097019.

The spelling of 14679168 in words is "fourteen million, six hundred seventy-nine thousand, one hundred sixty-eight".