8220500 has 48 divisors (see below), whose sum is σ = 18437328. Its totient is φ = 3200000.

The previous prime is 8220497. The next prime is 8220517. The reversal of 8220500 is 50228.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2208196 + 6012304 = 1486^2 + 2452^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20300 + ... + 20700.

It is an arithmetic number, because the mean of its divisors is an integer number (384111).

Almost surely, 2^8220500 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 8220500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9218664).

8220500 is an abundant number, since it is smaller than the sum of its proper divisors (10216828).

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

8220500 is a wasteful number, since it uses less digits than its factorization.

8220500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 8220500 is about 2867.1414335536. The cubic root of 8220500 is about 201.8208718188.

Adding to 8220500 its reverse (50228), we get a palindrome (8270728).

The spelling of 8220500 in words is "eight million, two hundred twenty thousand, five hundred".