8220900 has 72 divisors (see below), whose sum is σ = 24199840. Its totient is φ = 2154240.

The previous prime is 8220899. The next prime is 8220923. The reversal of 8220900 is 90228.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19896 + ... + 20304.

Almost surely, 2^8220900 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 8220900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12099920).

8220900 is an abundant number, since it is smaller than the sum of its proper divisors (15978940).

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

8220900 is a wasteful number, since it uses less digits than its factorization.

8220900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 8220900 is about 2867.2111885942. The cubic root of 8220900 is about 201.8241452223.

The spelling of 8220900 in words is "eight million, two hundred twenty thousand, nine hundred".