12894336 has 256 divisors, whose sum is σ = 47980800. Its totient is φ = 3317760.

The previous prime is 12894269. The next prime is 12894341. The reversal of 12894336 is 63349821.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12894336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314476 + ... + 314516.

It is an arithmetic number, because the mean of its divisors is an integer number (187425).

Almost surely, 2^12894336 is an apocalyptic number.

12894336 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 12894336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23990400).

12894336 is an abundant number, since it is smaller than the sum of its proper divisors (35086464).

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

12894336 is a wasteful number, since it uses less digits than its factorization.

12894336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 66 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12894336 is about 3590.8684186419. The cubic root of 12894336 is about 234.4946799968.

It can be divided in two parts, 1289 and 4336, that added together give a square (5625 = 75²).

The spelling of 12894336 in words is "twelve million, eight hundred ninety-four thousand, three hundred thirty-six".