7866688 has 28 divisors (see below), whose sum is σ = 15777972. Its totient is φ = 3891200.

The previous prime is 7866679. The next prime is 7866689. The reversal of 7866688 is 8866687.

It can be written as a sum of positive squares in 2 ways, for example, as 5531904 + 2334784 = 2352^2 + 1528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7866689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5856 + ... + 7072.

It is an arithmetic number, because the mean of its divisors is an integer number (563499).

Almost surely, 2^7866688 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 7866688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7888986).

7866688 is an abundant number, since it is smaller than the sum of its proper divisors (7911284).

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

7866688 is a wasteful number, since it uses less digits than its factorization.

7866688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1320 counting only the distinct ones).

The product of its digits is 774144, while the sum is 49.

The square root of 7866688 is about 2804.7616654539. The cubic root of 7866688 is about 198.8828380313.

Subtracting 7866688 from its reverse (8866687), we obtain a palindrome (999999).

It can be divided in two parts, 78 and 66688, that added together give a palindrome (66766).

The spelling of 7866688 in words is "seven million, eight hundred sixty-six thousand, six hundred eighty-eight".