12675768 has 64 divisors (see below), whose sum is σ = 36495360. Its totient is φ = 3593856.

The previous prime is 12675763. The next prime is 12675791. The reversal of 12675768 is 86757621.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12675763) 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 15 ways as a sum of consecutive naturals, for example, 32905 + ... + 33287.

It is an arithmetic number, because the mean of its divisors is an integer number (570240).

Almost surely, 2^12675768 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 12675768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18247680).

12675768 is an abundant number, since it is smaller than the sum of its proper divisors (23819592).

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

12675768 is a wasteful number, since it uses less digits than its factorization.

12675768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 592 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 12675768 is about 3560.3044813611. The cubic root of 12675768 is about 233.1621728896.

It can be divided in two parts, 12675 and 768, that multiplied together give a square (9734400 = 3120²).

The spelling of 12675768 in words is "twelve million, six hundred seventy-five thousand, seven hundred sixty-eight".