12735976 has 48 divisors (see below), whose sum is σ = 26812800. Its totient is φ = 5665440.

The previous prime is 12735973. The next prime is 12735979. The reversal of 12735976 is 67953721.

It is an interprime number because it is at equal distance from previous prime (12735973) and next prime (12735979).

It is not an unprimeable number, because it can be changed into a prime (12735971) 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 11 ways as a sum of consecutive naturals, for example, 57001 + ... + 57223.

It is an arithmetic number, because the mean of its divisors is an integer number (558600).

Almost surely, 2^12735976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12735976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13406400).

12735976 is an abundant number, since it is smaller than the sum of its proper divisors (14076824).

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

12735976 is a wasteful number, since it uses less digits than its factorization.

12735976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 295 counting only the distinct ones).

The product of its digits is 79380, while the sum is 40.

The square root of 12735976 is about 3568.7499211909. The cubic root of 12735976 is about 233.5307517422.

The spelling of 12735976 in words is "twelve million, seven hundred thirty-five thousand, nine hundred seventy-six".