14371968 has 64 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 4420608.

The previous prime is 14371967. The next prime is 14371991. The reversal of 14371968 is 86917341.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×14371968³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (14371963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3553 + ... + 6431.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 2^14371968 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 14371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

14371968 is an abundant number, since it is smaller than the sum of its proper divisors (26754432).

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

14371968 is a wasteful number, since it uses less digits than its factorization.

14371968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2897 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 14371968 is about 3791.0378526203. The cubic root of 14371968 is about 243.1301103421.

The spelling of 14371968 in words is "fourteen million, three hundred seventy-one thousand, nine hundred sixty-eight".