13507968 has 64 divisors (see below), whose sum is σ = 37148400. Its totient is φ = 4343808.

The previous prime is 13507961. The next prime is 13507987. The reversal of 13507968 is 86970531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13507961) 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, 10530 + ... + 11742.

Almost surely, 2^13507968 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 13507968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574200).

13507968 is an abundant number, since it is smaller than the sum of its proper divisors (23640432).

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

13507968 is a wasteful number, since it uses less digits than its factorization.

13507968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 13507968 is about 3675.3187616858. The cubic root of 13507968 is about 238.1569945506.

The spelling of 13507968 in words is "thirteen million, five hundred seven thousand, nine hundred sixty-eight".