8266000 has 40 divisors (see below), whose sum is σ = 19992024. Its totient is φ = 3305600.

The previous prime is 8265989. The next prime is 8266001. The reversal of 8266000 is 6628.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 8202496 = 252^2 + 2864^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (8266001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67 + ... + 4066.

Almost surely, 2^8266000 is an apocalyptic number.

8266000 is a gapful number since it is divisible by the number (80) 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 8266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9996012).

8266000 is an abundant number, since it is smaller than the sum of its proper divisors (11726024).

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

8266000 is a wasteful number, since it uses less digits than its factorization.

8266000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 8266000 is about 2875.0652166516. The cubic root of 8266000 is about 202.1925426170.

The spelling of 8266000 in words is "eight million, two hundred sixty-six thousand".