17138768 has 40 divisors (see below), whose sum is σ = 35191200. Its totient is φ = 8072064.

The previous prime is 17138747. The next prime is 17138773. The reversal of 17138768 is 86783171.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19523 + ... + 20381.

It is an arithmetic number, because the mean of its divisors is an integer number (879780).

Almost surely, 2^17138768 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 17138768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17595600).

17138768 is an abundant number, since it is smaller than the sum of its proper divisors (18052432).

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

17138768 is a wasteful number, since it uses less digits than its factorization.

17138768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 933 counting only the distinct ones).

The product of its digits is 56448, while the sum is 41.

The square root of 17138768 is about 4139.8995156888. The cubic root of 17138768 is about 257.8258945939.

The spelling of 17138768 in words is "seventeen million, one hundred thirty-eight thousand, seven hundred sixty-eight".