7886268 has 96 divisors (see below), whose sum is σ = 22720320. Its totient is φ = 2350080.

The previous prime is 7886261. The next prime is 7886287. The reversal of 7886268 is 8626887.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7886261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57496 + ... + 57632.

It is an arithmetic number, because the mean of its divisors is an integer number (236670).

Almost surely, 2^7886268 is an apocalyptic number.

7886268 is a gapful number since it is divisible by the number (78) 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 7886268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11360160).

7886268 is an abundant number, since it is smaller than the sum of its proper divisors (14834052).

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

7886268 is a wasteful number, since it uses less digits than its factorization.

7886268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

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

The square root of 7886268 is about 2808.2499888721. The cubic root of 7886268 is about 199.0477062127.

It can be divided in two parts, 788 and 6268, that added together give a square (7056 = 84²).

The spelling of 7886268 in words is "seven million, eight hundred eighty-six thousand, two hundred sixty-eight".