12642688 has 32 divisors (see below), whose sum is σ = 25783560. Its totient is φ = 6171648.

The previous prime is 12642659. The next prime is 12642691. The reversal of 12642688 is 88624621.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4356 + ... + 6652.

Almost surely, 2^12642688 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 12642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12891780).

12642688 is an abundant number, since it is smaller than the sum of its proper divisors (13140872).

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

12642688 is an equidigital number, since it uses as much as digits as its factorization.

12642688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2342 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 12642688 is about 3555.6557763653. The cubic root of 12642688 is about 232.9591681229.

The spelling of 12642688 in words is "twelve million, six hundred forty-two thousand, six hundred eighty-eight".