8205340 has 96 divisors (see below), whose sum is σ = 21450240. Its totient is φ = 2592000.

The previous prime is 8205313. The next prime is 8205361. The reversal of 8205340 is 435028.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54265 + ... + 54415.

It is an arithmetic number, because the mean of its divisors is an integer number (223440).

Almost surely, 2^8205340 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 8205340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10725120).

8205340 is an abundant number, since it is smaller than the sum of its proper divisors (13244900).

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

8205340 is a wasteful number, since it uses less digits than its factorization.

8205340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 8205340 is about 2864.4964653495. The cubic root of 8205340 is about 201.6967314723.

The spelling of 8205340 in words is "eight million, two hundred five thousand, three hundred forty".