12884166 has 48 divisors (see below), whose sum is σ = 29755440. Its totient is φ = 4017600.

The previous prime is 12884161. The next prime is 12884171. The reversal of 12884166 is 66148821.

It is an interprime number because it is at equal distance from previous prime (12884161) and next prime (12884171).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12884166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12884161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34356 + ... + 34728.

It is an arithmetic number, because the mean of its divisors is an integer number (619905).

Almost surely, 2^12884166 is an apocalyptic number.

12884166 is the 1919-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12884166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14877720).

12884166 is an abundant number, since it is smaller than the sum of its proper divisors (16871274).

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

12884166 is a wasteful number, since it uses less digits than its factorization.

12884166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 498 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 12884166 is about 3589.4520473186. The cubic root of 12884166 is about 234.4330136923.

The spelling of 12884166 in words is "twelve million, eight hundred eighty-four thousand, one hundred sixty-six".