8268642 has 40 divisors (see below), whose sum is σ = 18974736. Its totient is φ = 2689848.

The previous prime is 8268641. The next prime is 8268653. The reversal of 8268642 is 2468628.

8268642 is a `hidden beast` number, since 8 + 2 + 6 + 8 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8268597 and 8268606.

It is not an unprimeable number, because it can be changed into a prime (8268641) 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 19 ways as a sum of consecutive naturals, for example, 6373 + ... + 7559.

Almost surely, 2^8268642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8268642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9487368).

8268642 is an abundant number, since it is smaller than the sum of its proper divisors (10706094).

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

8268642 is a wasteful number, since it uses less digits than its factorization.

8268642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1235 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 8268642 is about 2875.5246477817. The cubic root of 8268642 is about 202.2140820877.

It can be divided in two parts, 82686 and 42, that added together give a palindrome (82728).

The spelling of 8268642 in words is "eight million, two hundred sixty-eight thousand, six hundred forty-two".