8220810 has 64 divisors (see below), whose sum is σ = 21555072. Its totient is φ = 1994496.

The previous prime is 8220803. The next prime is 8220851. The reversal of 8220810 is 180228.

8220810 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8220810² = 135163434112200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41632 + ... + 41828.

It is an arithmetic number, because the mean of its divisors is an integer number (336798).

Almost surely, 2^8220810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8220810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10777536).

8220810 is an abundant number, since it is smaller than the sum of its proper divisors (13334262).

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

8220810 is a wasteful number, since it uses less digits than its factorization.

8220810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327.

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8220810 is about 2867.1954938581. The cubic root of 8220810 is about 201.8234087157.

The spelling of 8220810 in words is "eight million, two hundred twenty thousand, eight hundred ten".