12735306 has 40 divisors (see below), whose sum is σ = 28807680. Its totient is φ = 4204872.

The previous prime is 12735299. The next prime is 12735311. The reversal of 12735306 is 60353721.

It is a happy number.

12735306 is a `hidden beast` number, since 127 + 3 + 530 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12735306.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20265 + ... + 20883.

It is an arithmetic number, because the mean of its divisors is an integer number (720192).

Almost surely, 2^12735306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12735306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14403840).

12735306 is an abundant number, since it is smaller than the sum of its proper divisors (16072374).

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

12735306 is a wasteful number, since it uses less digits than its factorization.

12735306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 12735306 is about 3568.6560495514. The cubic root of 12735306 is about 233.5266565621.

It can be divided in two parts, 12735 and 306, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 12735306 in words is "twelve million, seven hundred thirty-five thousand, three hundred six".