12846288 has 160 divisors (see below), whose sum is σ = 43497216. Its totient is φ = 3170304.

The previous prime is 12846283. The next prime is 12846319. The reversal of 12846288 is 88264821.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 (12846283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74170 + ... + 74342.

Almost surely, 2^12846288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12846288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21748608).

12846288 is an abundant number, since it is smaller than the sum of its proper divisors (30650928).

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

12846288 is a wasteful number, since it uses less digits than its factorization.

12846288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 12846288 is about 3584.1718708790. The cubic root of 12846288 is about 234.2030526208.

The spelling of 12846288 in words is "twelve million, eight hundred forty-six thousand, two hundred eighty-eight".