2688367 has 12 divisors (see below), whose sum is σ = 3099816. Its totient is φ = 2311920.

The previous prime is 2688349. The next prime is 2688373. The reversal of 2688367 is 7638862.

It is a happy number.

2688367 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2688367 - 2⁷ = 2688239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688337) 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 11 ways as a sum of consecutive naturals, for example, 3633 + ... + 4309.

It is an arithmetic number, because the mean of its divisors is an integer number (258318).

2^2688367 is an apocalyptic number.

2688367 is a deficient number, since it is larger than the sum of its proper divisors (411449).

2688367 is a wasteful number, since it uses less digits than its factorization.

2688367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 707 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 2688367 is about 1639.6240422731. The cubic root of 2688367 is about 139.0473933933.

The spelling of 2688367 in words is "two million, six hundred eighty-eight thousand, three hundred sixty-seven".