8205360 has 80 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 2164480.

The previous prime is 8205313. The next prime is 8205361. The reversal of 8205360 is 635028.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8205360.

It is not an unprimeable number, because it can be changed into a prime (8205361) 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, 42865 + ... + 43055.

It is an arithmetic number, because the mean of its divisors is an integer number (321408).

Almost surely, 2^8205360 is an apocalyptic number.

8205360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is a pronic number, being equal to 2864×2865.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8205360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

8205360 is an abundant number, since it is smaller than the sum of its proper divisors (17507280).

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

8205360 is a wasteful number, since it uses less digits than its factorization.

8205360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 8205360 is about 2864.4999563624. The cubic root of 8205360 is about 201.6968953465.

The spelling of 8205360 in words is "eight million, two hundred five thousand, three hundred sixty".