8210000 has 50 divisors (see below), whose sum is σ = 19901442. Its totient is φ = 3280000.

The previous prime is 8209991. The next prime is 8210017. The reversal of 8210000 is 128.

It can be written as a sum of positive squares in 5 ways, for example, as 4177936 + 4032064 = 2044^2 + 2008^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a nialpdrome in base 10.

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 9 ways as a sum of consecutive naturals, for example, 9590 + ... + 10410.

Almost surely, 2^8210000 is an apocalyptic number.

8210000 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 8210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9950721).

8210000 is an abundant number, since it is smaller than the sum of its proper divisors (11691442).

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

8210000 is an equidigital number, since it uses as much as digits as its factorization.

8210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 8210000 is about 2865.3097563789. The cubic root of 8210000 is about 201.7349069731.

Adding to 8210000 its reverse (128), we get a palindrome (8210128).

The spelling of 8210000 in words is "eight million, two hundred ten thousand".