8820306 has 64 divisors (see below), whose sum is σ = 22118400. Its totient is φ = 2581200.

The previous prime is 8820299. The next prime is 8820347. The reversal of 8820306 is 6030288.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 8820306.

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, 18175 + ... + 18653.

It is an arithmetic number, because the mean of its divisors is an integer number (345600).

Almost surely, 2^8820306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8820306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11059200).

8820306 is an abundant number, since it is smaller than the sum of its proper divisors (13298094).

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

8820306 is a wasteful number, since it uses less digits than its factorization.

8820306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8820306 is about 2969.8999983164. The cubic root of 8820306 is about 206.6147001957.

The spelling of 8820306 in words is "eight million, eight hundred twenty thousand, three hundred six".