8266900 has 54 divisors (see below), whose sum is σ = 19015710. Its totient is φ = 3119040.

The previous prime is 8266897. The next prime is 8266931. The reversal of 8266900 is 96628.

It can be written as a sum of positive squares in 3 ways, for example, as 1976836 + 6290064 = 1406^2 + 2508^2 .

It is a super-2 number, since 2×8266900² = 136683271220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35986 + ... + 36214.

Almost surely, 2^8266900 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 8266900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9507855).

8266900 is an abundant number, since it is smaller than the sum of its proper divisors (10748810).

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

8266900 is a wasteful number, since it uses less digits than its factorization.

8266900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 8266900 is about 2875.2217305801. The cubic root of 8266900 is about 202.1998805751.

The spelling of 8266900 in words is "eight million, two hundred sixty-six thousand, nine hundred".