12762568 has 64 divisors (see below), whose sum is σ = 30159360. Its totient is φ = 4928256.

The previous prime is 12762553. The next prime is 12762583. The reversal of 12762568 is 86526721.

It is a happy number.

12762568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12762553) and next prime (12762583).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34030 + ... + 34402.

It is an arithmetic number, because the mean of its divisors is an integer number (471240).

Almost surely, 2^12762568 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 12762568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15079680).

12762568 is an abundant number, since it is smaller than the sum of its proper divisors (17396792).

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

12762568 is a wasteful number, since it uses less digits than its factorization.

12762568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 442 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 12762568 is about 3572.4736528070. The cubic root of 12762568 is about 233.6931717687.

It can be divided in two parts, 1276 and 2568, that added together give a square (3844 = 62²).

The spelling of 12762568 in words is "twelve million, seven hundred sixty-two thousand, five hundred sixty-eight".