12864600 has 144 divisors (see below), whose sum is σ = 49423920. Its totient is φ = 2937600.

The previous prime is 12864583. The next prime is 12864617. The reversal of 12864600 is 646821.

12864600 is a `hidden beast` number, since 12 + 8 + 646 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12864583) and next prime (12864617).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12090 + ... + 13110.

Almost surely, 2^12864600 is an apocalyptic number.

12864600 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 12864600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24711960).

12864600 is an abundant number, since it is smaller than the sum of its proper divisors (36559320).

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

12864600 is a wasteful number, since it uses less digits than its factorization.

12864600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12864600 is about 3586.7255261589. The cubic root of 12864600 is about 234.3142829387.

It can be divided in two parts, 1286 and 4600, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 12864600 in words is "twelve million, eight hundred sixty-four thousand, six hundred".