8225420 has 48 divisors (see below), whose sum is σ = 20236608. Its totient is φ = 2749440.

The previous prime is 8225407. The next prime is 8225429. The reversal of 8225420 is 245228.

8225420 = 1081² + 1082² + ... + 1087².

It is not an unprimeable number, because it can be changed into a prime (8225429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5024 + ... + 6456.

It is an arithmetic number, because the mean of its divisors is an integer number (421596).

Almost surely, 2^8225420 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 8225420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10118304).

8225420 is an abundant number, since it is smaller than the sum of its proper divisors (12011188).

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

8225420 is a wasteful number, since it uses less digits than its factorization.

8225420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 8225420 is about 2867.9993026498. Note that the first 3 decimals coincide. The cubic root of 8225420 is about 201.8611273044.

The spelling of 8225420 in words is "eight million, two hundred twenty-five thousand, four hundred twenty".