2679688 has 32 divisors (see below), whose sum is σ = 5636160. Its totient is φ = 1183680.

The previous prime is 2679673. The next prime is 2679697. The reversal of 2679688 is 8869762.

It is a d-powerful number, because it can be written as 2²¹ + 6³ + 7⁵ + 9⁶ + 6⁴ + 8 + 8⁵ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2845 + ... + 3667.

It is an arithmetic number, because the mean of its divisors is an integer number (176130).

2^2679688 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 2679688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818080).

2679688 is an abundant number, since it is smaller than the sum of its proper divisors (2956472).

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

2679688 is a wasteful number, since it uses less digits than its factorization.

2679688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 873 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 2679688 is about 1636.9752594343. The cubic root of 2679688 is about 138.8976006861.

The spelling of 2679688 in words is "two million, six hundred seventy-nine thousand, six hundred eighty-eight".