14563968 has 128 divisors (see below), whose sum is σ = 43182720. Its totient is φ = 4325376.

The previous prime is 14563963. The next prime is 14563999. The reversal of 14563968 is 86936541.

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

It is not an unprimeable number, because it can be changed into a prime (14563963) 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 15 ways as a sum of consecutive naturals, for example, 150096 + ... + 150192.

It is an arithmetic number, because the mean of its divisors is an integer number (337365).

Almost surely, 2^14563968 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 14563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21591360).

14563968 is an abundant number, since it is smaller than the sum of its proper divisors (28618752).

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

14563968 is a wasteful number, since it uses less digits than its factorization.

14563968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 14563968 is about 3816.2767195265. The cubic root of 14563968 is about 244.2080103836.

The spelling of 14563968 in words is "fourteen million, five hundred sixty-three thousand, nine hundred sixty-eight".