13537968 has 40 divisors (see below), whose sum is σ = 35377200. Its totient is φ = 4460544.

The previous prime is 13537957. The next prime is 13537973. The reversal of 13537968 is 86973531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2688 + ... + 5856.

It is an arithmetic number, because the mean of its divisors is an integer number (884430).

Almost surely, 2^13537968 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 13537968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17688600).

13537968 is an abundant number, since it is smaller than the sum of its proper divisors (21839232).

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

13537968 is a wasteful number, since it uses less digits than its factorization.

13537968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 3263 counting only the distinct ones).

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

The square root of 13537968 is about 3679.3977768108. The cubic root of 13537968 is about 238.3331727168. Note that the first 3 decimals are identical.

The spelling of 13537968 in words is "thirteen million, five hundred thirty-seven thousand, nine hundred sixty-eight".