8205240 has 64 divisors (see below), whose sum is σ = 24896160. Its totient is φ = 2163200.

The previous prime is 8205233. The next prime is 8205251. The reversal of 8205240 is 425028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11782 + ... + 12458.

Almost surely, 2^8205240 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 8205240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12448080).

8205240 is an abundant number, since it is smaller than the sum of its proper divisors (16690920).

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

8205240 is a wasteful number, since it uses less digits than its factorization.

8205240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 8205240 is about 2864.4790102216. The cubic root of 8205240 is about 201.6959120971.

The spelling of 8205240 in words is "eight million, two hundred five thousand, two hundred forty".