2768688 has 160 divisors (see below), whose sum is σ = 9374400. Its totient is φ = 774144.

The previous prime is 2768683. The next prime is 2768767. The reversal of 2768688 is 8868672.

2768688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (258048) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2768681) 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 31 ways as a sum of consecutive naturals, for example, 95458 + ... + 95486.

It is an arithmetic number, because the mean of its divisors is an integer number (58590).

2^2768688 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 2768688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

2768688 is an abundant number, since it is smaller than the sum of its proper divisors (6605712).

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

2768688 is a wasteful number, since it uses less digits than its factorization.

2768688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2768688 is about 1663.9374988262. The cubic root of 2768688 is about 140.4186110181.

The spelling of 2768688 in words is "two million, seven hundred sixty-eight thousand, six hundred eighty-eight".