12894016 has 56 divisors (see below), whose sum is σ = 27082496. Its totient is φ = 6082560.

The previous prime is 12894001. The next prime is 12894017. The reversal of 12894016 is 61049821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12894017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132880 + ... + 132976.

It is an arithmetic number, because the mean of its divisors is an integer number (483616).

Almost surely, 2^12894016 is an apocalyptic number.

12894016 is a gapful number since it is divisible by the number (16) 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 12894016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13541248).

12894016 is an abundant number, since it is smaller than the sum of its proper divisors (14188480).

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

12894016 is an equidigital number, since it uses as much as digits as its factorization.

12894016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 12894016 is about 3590.8238608988. The cubic root of 12894016 is about 234.4927401550.

The spelling of 12894016 in words is "twelve million, eight hundred ninety-four thousand, sixteen".