14683968 has 168 divisors, whose sum is σ = 47429928. Its totient is φ = 4313088.

The previous prime is 14683961. The next prime is 14683969. The reversal of 14683968 is 86938641.

It can be written as a sum of positive squares in 4 ways, for example, as 3873024 + 10810944 = 1968^2 + 3288^2 .

It is a nude number because it is divisible by every one of its digits.

Its product of digits (248832) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14683961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277030 + ... + 277082.

It is an arithmetic number, because the mean of its divisors is an integer number (282321).

Almost surely, 2^14683968 is an apocalyptic number.

14683968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23714964).

14683968 is an abundant number, since it is smaller than the sum of its proper divisors (32745960).

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

14683968 is a wasteful number, since it uses less digits than its factorization.

14683968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 14683968 is about 3831.9665969317. The cubic root of 14683968 is about 244.8768949774.

It can be divided in two parts, 14683 and 968, that added together give a palindrome (15651).

The spelling of 14683968 in words is "fourteen million, six hundred eighty-three thousand, nine hundred sixty-eight".