12866784 has 96 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 3578880.

The previous prime is 12866783. The next prime is 12866801. The reversal of 12866784 is 48766821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12866783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27319 + ... + 27785.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 2^12866784 is an apocalyptic number.

12866784 is a gapful number since it is divisible by the number (14) 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 12866784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

12866784 is an abundant number, since it is smaller than the sum of its proper divisors (26759712).

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

12866784 is a wasteful number, since it uses less digits than its factorization.

12866784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 12866784 is about 3587.0299692085. The cubic root of 12866784 is about 234.3275418932.

The spelling of 12866784 in words is "twelve million, eight hundred sixty-six thousand, seven hundred eighty-four".