8205840 has 160 divisors (see below), whose sum is σ = 29462400. Its totient is φ = 2096640.

The previous prime is 8205839. The next prime is 8205859. The reversal of 8205840 is 485028.

8205840 is a `hidden beast` number, since 82 + 0 + 584 + 0 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 62575 + ... + 62705.

It is an arithmetic number, because the mean of its divisors is an integer number (184140).

Almost surely, 2^8205840 is an apocalyptic number.

8205840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8205840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731200).

8205840 is an abundant number, since it is smaller than the sum of its proper divisors (21256560).

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

8205840 is a wasteful number, since it uses less digits than its factorization.

8205840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8205840 is about 2864.5837393939. The cubic root of 8205840 is about 201.7008282481.

It can be divided in two parts, 8205 and 840, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 8205840 in words is "eight million, two hundred five thousand, eight hundred forty".