8205120 has 336 divisors, whose sum is σ = 36137088. Its totient is φ = 1658880.

The previous prime is 8205103. The next prime is 8205121. The reversal of 8205120 is 215028.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8205093 and 8205102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8205121) 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 47 ways as a sum of consecutive naturals, for example, 221742 + ... + 221778.

Almost surely, 2^8205120 is an apocalyptic number.

8205120 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 8205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18068544).

8205120 is an abundant number, since it is smaller than the sum of its proper divisors (27931968).

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

8205120 is a wasteful number, since it uses less digits than its factorization.

8205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8205120 is about 2864.4580639276. The cubic root of 8205120 is about 201.6949288381.

The spelling of 8205120 in words is "eight million, two hundred five thousand, one hundred twenty".