12668500 has 48 divisors (see below), whose sum is σ = 29811600. Its totient is φ = 4675200.

The previous prime is 12668489. The next prime is 12668507. The reversal of 12668500 is 586621.

It can be written as a sum of positive squares in 8 ways, for example, as 4477456 + 8191044 = 2116^2 + 2862^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12668507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5526 + ... + 7474.

It is an arithmetic number, because the mean of its divisors is an integer number (621075).

Almost surely, 2^12668500 is an apocalyptic number.

12668500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12668500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14905800).

12668500 is an abundant number, since it is smaller than the sum of its proper divisors (17143100).

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

12668500 is a wasteful number, since it uses less digits than its factorization.

12668500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 12668500 is about 3559.2836357897. The cubic root of 12668500 is about 233.1176010561.

The spelling of 12668500 in words is "twelve million, six hundred sixty-eight thousand, five hundred".