14575968 has 144 divisors (see below), whose sum is σ = 46702656. Its totient is φ = 4273920.

The previous prime is 14575943. The next prime is 14575973. The reversal of 14575968 is 86957541.

14575968 is a `hidden beast` number, since 1 + 4 + 57 + 596 + 8 = 666.

14575968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136171 + ... + 136277.

It is an arithmetic number, because the mean of its divisors is an integer number (324324).

Almost surely, 2^14575968 is an apocalyptic number.

14575968 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 14575968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23351328).

14575968 is an abundant number, since it is smaller than the sum of its proper divisors (32126688).

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

14575968 is a wasteful number, since it uses less digits than its factorization.

14575968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 14575968 is about 3817.8486088372. The cubic root of 14575968 is about 244.2750638045.

The spelling of 14575968 in words is "fourteen million, five hundred seventy-five thousand, nine hundred sixty-eight".