14535968 has 24 divisors (see below), whose sum is σ = 29393532. Its totient is φ = 7070976.

The previous prime is 14535949. The next prime is 14535971. The reversal of 14535968 is 86953541.

14535968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 14531344 + 4624 = 3812^2 + 68^2 .

It is a super-2 number, since 2×14535968² = 422588731394048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4955 + ... + 7322.

Almost surely, 2^14535968 is an apocalyptic number.

It is an amenable number.

14535968 is an abundant number, since it is smaller than the sum of its proper divisors (14857564).

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

14535968 is a wasteful number, since it uses less digits than its factorization.

14535968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12324 (or 12316 counting only the distinct ones).

The product of its digits is 129600, while the sum is 41.

The square root of 14535968 is about 3812.6064575301. The cubic root of 14535968 is about 244.0514090369.

The spelling of 14535968 in words is "fourteen million, five hundred thirty-five thousand, nine hundred sixty-eight".