14071968 has 120 divisors (see below), whose sum is σ = 42536340. Its totient is φ = 4561920.

The previous prime is 14071961. The next prime is 14071973. The reversal of 14071968 is 86917041.

It can be written as a sum of positive squares in 2 ways, for example, as 11209104 + 2862864 = 3348^2 + 1692^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14071961) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 158068 + ... + 158156.

Almost surely, 2^14071968 is an apocalyptic number.

14071968 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 14071968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21268170).

14071968 is an abundant number, since it is smaller than the sum of its proper divisors (28464372).

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

14071968 is an equidigital number, since it uses as much as digits as its factorization.

14071968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 14071968 is about 3751.2621875843. The cubic root of 14071968 is about 241.4265043897.

It can be divided in two parts, 1407 and 1968, that added together give a cube (3375 = 15³).

The spelling of 14071968 in words is "fourteen million, seventy-one thousand, nine hundred sixty-eight".