8260200 has 144 divisors (see below), whose sum is σ = 29959020. Its totient is φ = 2027520.

The previous prime is 8260127. The next prime is 8260201. The reversal of 8260200 is 20628.

It can be written as a sum of positive squares in 6 ways, for example, as 1258884 + 7001316 = 1122^2 + 2646^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (8260201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 23224 + ... + 23576.

Almost surely, 2^8260200 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 8260200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14979510).

8260200 is an abundant number, since it is smaller than the sum of its proper divisors (21698820).

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

8260200 is a wasteful number, since it uses less digits than its factorization.

8260200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8260200 is about 2874.0563668794. The cubic root of 8260200 is about 202.1452407725.

Adding to 8260200 its reverse (20628), we get a palindrome (8280828).

The spelling of 8260200 in words is "eight million, two hundred sixty thousand, two hundred".