13585968 has 100 divisors (see below), whose sum is σ = 42941448. Its totient is φ = 4112640.

The previous prime is 13585963. The next prime is 13585987. The reversal of 13585968 is 86958531.

13585968 is a `hidden beast` number, since 1 + 3 + 58 + 596 + 8 = 666.

13585968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13585963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13780 + ... + 14732.

Almost surely, 2^13585968 is an apocalyptic number.

13585968 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 13585968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21470724).

13585968 is an abundant number, since it is smaller than the sum of its proper divisors (29355480).

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

13585968 is a wasteful number, since it uses less digits than its factorization.

13585968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 969 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 13585968 is about 3685.9148118208. The cubic root of 13585968 is about 238.6145172134.

The spelling of 13585968 in words is "thirteen million, five hundred eighty-five thousand, nine hundred sixty-eight".