8208820 has 24 divisors (see below), whose sum is σ = 17706024. Its totient is φ = 3194496.

The previous prime is 8208803. The next prime is 8208821. The reversal of 8208820 is 288028.

It can be written as a sum of positive squares in 4 ways, for example, as 3663396 + 4545424 = 1914^2 + 2132^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8208821) 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, 4807 + ... + 6286.

It is an arithmetic number, because the mean of its divisors is an integer number (737751).

Almost surely, 2^8208820 is an apocalyptic number.

It is an amenable number.

8208820 is an abundant number, since it is smaller than the sum of its proper divisors (9497204).

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

8208820 is a wasteful number, since it uses less digits than its factorization.

8208820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11139 (or 11137 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 8208820 is about 2865.1038375598. The cubic root of 8208820 is about 201.7252415815.

The spelling of 8208820 in words is "eight million, two hundred eight thousand, eight hundred twenty".