12645688 has 64 divisors (see below), whose sum is σ = 27993600. Its totient is φ = 5291520.

The previous prime is 12645667. The next prime is 12645707. The reversal of 12645688 is 88654621.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

12645688 is a modest number, since divided by 5688 gives 1264 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 12645688.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118131 + ... + 118237.

It is an arithmetic number, because the mean of its divisors is an integer number (437400).

Almost surely, 2^12645688 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 12645688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13996800).

12645688 is an abundant number, since it is smaller than the sum of its proper divisors (15347912).

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

12645688 is a wasteful number, since it uses less digits than its factorization.

12645688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The square root of 12645688 is about 3556.0776144511. The cubic root of 12645688 is about 232.9775930610.

The spelling of 12645688 in words is "twelve million, six hundred forty-five thousand, six hundred eighty-eight".