2686768 has 60 divisors (see below), whose sum is σ = 6361200. Its totient is φ = 1094016.

The previous prime is 2686759. The next prime is 2686777. The reversal of 2686768 is 8676862.

It is an interprime number because it is at equal distance from previous prime (2686759) and next prime (2686777).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17958 + ... + 18106.

It is an arithmetic number, because the mean of its divisors is an integer number (106020).

2^2686768 is an apocalyptic number.

2686768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2686768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180600).

2686768 is an abundant number, since it is smaller than the sum of its proper divisors (3674432).

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

2686768 is a wasteful number, since it uses less digits than its factorization.

2686768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 2686768 is about 1639.1363579642. The cubic root of 2686768 is about 139.0198201642.

The spelling of 2686768 in words is "two million, six hundred eighty-six thousand, seven hundred sixty-eight".