8381268 has 72 divisors (see below), whose sum is σ = 24577280. Its totient is φ = 2358720.

The previous prime is 8381267. The next prime is 8381291. The reversal of 8381268 is 8621838.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (18432) is a multiple of the sum of its prime divisors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8381267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19698 + ... + 20118.

Almost surely, 2^8381268 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 8381268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12288640).

8381268 is an abundant number, since it is smaller than the sum of its proper divisors (16196012).

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

8381268 is a wasteful number, since it uses less digits than its factorization.

8381268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 512 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8381268 is about 2895.0419686077. The cubic root of 8381268 is about 203.1280546444.

It can be divided in two parts, 8381 and 268, that added together give a square (8649 = 93²).

The spelling of 8381268 in words is "eight million, three hundred eighty-one thousand, two hundred sixty-eight".