12884000 has 48 divisors (see below), whose sum is σ = 31665816. Its totient is φ = 5152000.

The previous prime is 12883951. The next prime is 12884017. The reversal of 12884000 is 48821.

It can be written as a sum of positive squares in 4 ways, for example, as 5550736 + 7333264 = 2356^2 + 2708^2 .

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 7 ways as a sum of consecutive naturals, for example, 2390 + ... + 5610.

Almost surely, 2^12884000 is an apocalyptic number.

12884000 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 12884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832908).

12884000 is an abundant number, since it is smaller than the sum of its proper divisors (18781816).

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

12884000 is an equidigital number, since it uses as much as digits as its factorization.

12884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 12884000 is about 3589.4289239376. The cubic root of 12884000 is about 234.4320068739.

The spelling of 12884000 in words is "twelve million, eight hundred eighty-four thousand".