12646368 has 240 divisors, whose sum is σ = 46103904. Its totient is φ = 3317760.

The previous prime is 12646363. The next prime is 12646369. The reversal of 12646368 is 86364621.

12646368 is a `hidden beast` number, since 1 + 2 + 646 + 3 + 6 + 8 = 666.

12646368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12646363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308428 + ... + 308468.

Almost surely, 2^12646368 is an apocalyptic number.

12646368 is a gapful number since it is divisible by the number (18) 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 12646368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23051952).

12646368 is an abundant number, since it is smaller than the sum of its proper divisors (33457536).

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

12646368 is a wasteful number, since it uses less digits than its factorization.

12646368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 70 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 12646368 is about 3556.1732241273. The cubic root of 12646368 is about 232.9817689752.

The spelling of 12646368 in words is "twelve million, six hundred forty-six thousand, three hundred sixty-eight".