12906800 has 60 divisors (see below), whose sum is σ = 31805256. Its totient is φ = 5030400.

The previous prime is 12906793. The next prime is 12906823. The reversal of 12906800 is 860921.

It is a self number, because there is not a number n which added to its sum of digits gives 12906800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16007 + ... + 16793.

Almost surely, 2^12906800 is an apocalyptic number.

12906800 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 12906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15902628).

12906800 is an abundant number, since it is smaller than the sum of its proper divisors (18898456).

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

12906800 is a wasteful number, since it uses less digits than its factorization.

12906800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 12906800 is about 3592.6035127745. The cubic root of 12906800 is about 234.5702118806.

The spelling of 12906800 in words is "twelve million, nine hundred six thousand, eight hundred".