12864800 has 72 divisors (see below), whose sum is σ = 33849396. Its totient is φ = 4746240.

The previous prime is 12864791. The next prime is 12864823. The reversal of 12864800 is 846821.

12864800 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 3888784 + 8976016 = 1972^2 + 2996^2 .

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, 9782 + ... + 11018.

Almost surely, 2^12864800 is an apocalyptic number.

12864800 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 12864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16924698).

12864800 is an abundant number, since it is smaller than the sum of its proper divisors (20984596).

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

12864800 is a wasteful number, since it uses less digits than its factorization.

12864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 12864800 is about 3586.7534066339. The cubic root of 12864800 is about 234.3154971911.

It can be divided in two parts, 128 and 64800, that multiplied together give a square (8294400 = 2880²).

The spelling of 12864800 in words is "twelve million, eight hundred sixty-four thousand, eight hundred".