8306268 has 48 divisors (see below), whose sum is σ = 21611520. Its totient is φ = 2467584.

The previous prime is 8306261. The next prime is 8306273. The reversal of 8306268 is 8626038.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8306261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2805 + ... + 4947.

It is an arithmetic number, because the mean of its divisors is an integer number (450240).

Almost surely, 2^8306268 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 8306268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10805760).

8306268 is an abundant number, since it is smaller than the sum of its proper divisors (13305252).

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

8306268 is a wasteful number, since it uses less digits than its factorization.

8306268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 8306268 is about 2882.0596801593. The cubic root of 8306268 is about 202.5203393684.

The spelling of 8306268 in words is "eight million, three hundred six thousand, two hundred sixty-eight".