8490820 has 72 divisors (see below), whose sum is σ = 20578824. Its totient is φ = 2924544.

The previous prime is 8490799. The next prime is 8490827. The reversal of 8490820 is 280948.

8490820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 3437316 + 5053504 = 1854^2 + 2248^2 .

It is not an unprimeable number, because it can be changed into a prime (8490827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75084 + ... + 75196.

It is an arithmetic number, because the mean of its divisors is an integer number (285817).

Almost surely, 2^8490820 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 8490820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10289412).

8490820 is an abundant number, since it is smaller than the sum of its proper divisors (12088004).

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

8490820 is a wasteful number, since it uses less digits than its factorization.

8490820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 8490820 is about 2913.9011651050. The cubic root of 8490820 is about 204.0092588390.

The spelling of 8490820 in words is "eight million, four hundred ninety thousand, eight hundred twenty".