8412820 has 72 divisors (see below), whose sum is σ = 20291040. Its totient is φ = 2920320.

The previous prime is 8412809. The next prime is 8412823. The reversal of 8412820 is 282148.

It is a super-3 number, since 3×8412820³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8412823) 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, 64155 + ... + 64285.

It is an arithmetic number, because the mean of its divisors is an integer number (281820).

Almost surely, 2^8412820 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 8412820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10145520).

8412820 is an abundant number, since it is smaller than the sum of its proper divisors (11878220).

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

8412820 is a wasteful number, since it uses less digits than its factorization.

8412820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 8412820 is about 2900.4861661453. The cubic root of 8412820 is about 203.3826330935.

Adding to 8412820 its reverse (282148), we get a palindrome (8694968).

It can be divided in two parts, 84128 and 20, that added together give a palindrome (84148).

The spelling of 8412820 in words is "eight million, four hundred twelve thousand, eight hundred twenty".