12627800 has 48 divisors (see below), whose sum is σ = 29693040. Its totient is φ = 4993920.

The previous prime is 12627779. The next prime is 12627803. The reversal of 12627800 is 872621.

It is a super-2 number, since 2×12627800² = 318922665680000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12627800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12627803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20294 + ... + 20906.

It is an arithmetic number, because the mean of its divisors is an integer number (618605).

Almost surely, 2^12627800 is an apocalyptic number.

12627800 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 12627800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14846520).

12627800 is an abundant number, since it is smaller than the sum of its proper divisors (17065240).

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

12627800 is a wasteful number, since it uses less digits than its factorization.

12627800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 12627800 is about 3553.5615936691. The cubic root of 12627800 is about 232.8676881463.

The spelling of 12627800 in words is "twelve million, six hundred twenty-seven thousand, eight hundred".