12687768 has 48 divisors (see below), whose sum is σ = 34533720. Its totient is φ = 4208256.

The previous prime is 12687767. The next prime is 12687803. The reversal of 12687768 is 86778621.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12687767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22255 + ... + 22817.

Almost surely, 2^12687768 is an apocalyptic number.

12687768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12687768 is an abundant number, since it is smaller than the sum of its proper divisors (21845952).

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

12687768 is a wasteful number, since it uses less digits than its factorization.

12687768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 881 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 12687768 is about 3561.9893318201. The cubic root of 12687768 is about 233.2357269761.

The spelling of 12687768 in words is "twelve million, six hundred eighty-seven thousand, seven hundred sixty-eight".