12717768 has 128 divisors (see below), whose sum is σ = 39640320. Its totient is φ = 3317760.

The previous prime is 12717763. The next prime is 12717769. The reversal of 12717768 is 86771721.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12717763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174180 + ... + 174252.

It is an arithmetic number, because the mean of its divisors is an integer number (309690).

Almost surely, 2^12717768 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 12717768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19820160).

12717768 is an abundant number, since it is smaller than the sum of its proper divisors (26922552).

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

12717768 is a wasteful number, since it uses less digits than its factorization.

12717768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its digits is 32928, while the sum is 39.

The square root of 12717768 is about 3566.1979754355. The cubic root of 12717768 is about 233.4194095126.

The spelling of 12717768 in words is "twelve million, seven hundred seventeen thousand, seven hundred sixty-eight".