12868000 has 48 divisors (see below), whose sum is σ = 31626504. Its totient is φ = 5145600.

The previous prime is 12867977. The next prime is 12868003. The reversal of 12868000 is 86821.

It can be written as a sum of positive squares in 4 ways, for example, as 6697744 + 6170256 = 2588^2 + 2484^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12868003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2392 + ... + 5608.

Almost surely, 2^12868000 is an apocalyptic number.

12868000 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 12868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15813252).

12868000 is an abundant number, since it is smaller than the sum of its proper divisors (18758504).

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

12868000 is an equidigital number, since it uses as much as digits as its factorization.

12868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 12868000 is about 3587.1994647636. The cubic root of 12868000 is about 234.3349235180.

The spelling of 12868000 in words is "twelve million, eight hundred sixty-eight thousand".