12635676 has 60 divisors (see below), whose sum is σ = 33642840. Its totient is φ = 4134240.

The previous prime is 12635669. The next prime is 12635681. The reversal of 12635676 is 67653621.

12635676 is a `hidden beast` number, since 12 + 635 + 6 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12635676.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18786 + ... + 19446.

It is an arithmetic number, because the mean of its divisors is an integer number (560714).

Almost surely, 2^12635676 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 12635676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821420).

12635676 is an abundant number, since it is smaller than the sum of its proper divisors (21007164).

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

12635676 is a wasteful number, since it uses less digits than its factorization.

12635676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 725 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 12635676 is about 3554.6696049000. The cubic root of 12635676 is about 232.9160915298.

The spelling of 12635676 in words is "twelve million, six hundred thirty-five thousand, six hundred seventy-six".