2679768 has 96 divisors (see below), whose sum is σ = 8954400. Its totient is φ = 705024.

The previous prime is 2679763. The next prime is 2679773. The reversal of 2679768 is 8679762.

It is a happy number.

2679768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1637²-1.

It is an interprime number because it is at equal distance from previous prime (2679763) and next prime (2679773).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (254016) is a multiple of the sum of its prime factors (441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2679763) 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 23 ways as a sum of consecutive naturals, for example, 6348 + ... + 6756.

It is an arithmetic number, because the mean of its divisors is an integer number (93275).

2^2679768 is an apocalyptic number.

2679768 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 2679768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477200).

2679768 is an abundant number, since it is smaller than the sum of its proper divisors (6274632).

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

2679768 is a wasteful number, since it uses less digits than its factorization.

2679768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 434 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 2679768 is about 1636.9996945632. Note that the first 3 decimals coincide. The cubic root of 2679768 is about 138.8989828990.

The spelling of 2679768 in words is "two million, six hundred seventy-nine thousand, seven hundred sixty-eight".