12636800 has 96 divisors (see below), whose sum is σ = 34149600. Its totient is φ = 4582400.

The previous prime is 12636791. The next prime is 12636823. The reversal of 12636800 is 863621.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12636800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35021 + ... + 35379.

It is an arithmetic number, because the mean of its divisors is an integer number (355725).

Almost surely, 2^12636800 is an apocalyptic number.

12636800 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 12636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074800).

12636800 is an abundant number, since it is smaller than the sum of its proper divisors (21512800).

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

12636800 is a wasteful number, since it uses less digits than its factorization.

12636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 12636800 is about 3554.8277032790. The cubic root of 12636800 is about 232.9229976351.

The spelling of 12636800 in words is "twelve million, six hundred thirty-six thousand, eight hundred".