12835368 has 128 divisors (see below), whose sum is σ = 43948800. Its totient is φ = 3379968.

The previous prime is 12835283. The next prime is 12835397. The reversal of 12835368 is 86353821.

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

It is a zygodrome in base 3.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19330 + ... + 19982.

It is an arithmetic number, because the mean of its divisors is an integer number (343350).

Almost surely, 2^12835368 is an apocalyptic number.

12835368 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 12835368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21974400).

12835368 is an abundant number, since it is smaller than the sum of its proper divisors (31113432).

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

12835368 is a wasteful number, since it uses less digits than its factorization.

12835368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 678 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 12835368 is about 3582.6481825599. The cubic root of 12835368 is about 234.1366722951.

It can be divided in two parts, 12835 and 368, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 12835368 in words is "twelve million, eight hundred thirty-five thousand, three hundred sixty-eight".