12617766 has 48 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 3581424.

The previous prime is 12617753. The next prime is 12617771. The reversal of 12617766 is 66771621.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12617766.

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 23 ways as a sum of consecutive naturals, for example, 29905 + ... + 30323.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 2^12617766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12617766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

12617766 is an abundant number, since it is smaller than the sum of its proper divisors (18831834).

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

12617766 is a wasteful number, since it uses less digits than its factorization.

12617766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 670 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 12617766 is about 3552.1494900975. The cubic root of 12617766 is about 232.8059932208.

The spelling of 12617766 in words is "twelve million, six hundred seventeen thousand, seven hundred sixty-six".