8266384 has 40 divisors (see below), whose sum is σ = 19105920. Its totient is φ = 3387648.

The previous prime is 8266373. The next prime is 8266411. The reversal of 8266384 is 4836628.

It is a super-3 number, since 3×8266384³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 972 + ... + 4180.

It is an arithmetic number, because the mean of its divisors is an integer number (477648).

Almost surely, 2^8266384 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 8266384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9552960).

8266384 is an abundant number, since it is smaller than the sum of its proper divisors (10839536).

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

8266384 is a wasteful number, since it uses less digits than its factorization.

8266384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3241 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 8266384 is about 2875.1319969699. The cubic root of 8266384 is about 202.1956735442.

It can be divided in two parts, 82 and 66384, that added together give a palindrome (66466).

The spelling of 8266384 in words is "eight million, two hundred sixty-six thousand, three hundred eighty-four".