13735968 has 48 divisors (see below), whose sum is σ = 37630656. Its totient is φ = 4378880.

The previous prime is 13735961. The next prime is 13735999. The reversal of 13735968 is 86953731.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13735961) 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, 903 + ... + 5318.

It is an arithmetic number, because the mean of its divisors is an integer number (783972).

Almost surely, 2^13735968 is an apocalyptic number.

It is an amenable number.

13735968 is an abundant number, since it is smaller than the sum of its proper divisors (23894688).

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

13735968 is a wasteful number, since it uses less digits than its factorization.

13735968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6257 (or 6249 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 13735968 is about 3706.2066860875. The cubic root of 13735968 is about 239.4894703233.

The spelling of 13735968 in words is "thirteen million, seven hundred thirty-five thousand, nine hundred sixty-eight".