8282820 has 192 divisors, whose sum is σ = 30030336. Its totient is φ = 1658880.

The previous prime is 8282809. The next prime is 8282821. The reversal of 8282820 is 282828.

8282820 = T₁₁₁ + T₁₁₂ + ... + T₃₇₀.

8282820 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8282821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202000 + ... + 202040.

It is an arithmetic number, because the mean of its divisors is an integer number (156408).

Almost surely, 2^8282820 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 8282820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015168).

8282820 is an abundant number, since it is smaller than the sum of its proper divisors (21747516).

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

8282820 is a wasteful number, since it uses less digits than its factorization.

8282820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 8282820 is about 2877.9888811460. The cubic root of 8282820 is about 202.3295929606.

The spelling of 8282820 in words is "eight million, two hundred eighty-two thousand, eight hundred twenty".