8240565840 has 320 divisors, whose sum is σ = 28331520000. Its totient is φ = 1968924672.

The previous prime is 8240565821. The next prime is 8240565841. The reversal of 8240565840 is 485650428.

It is a junction number, because it is equal to n+sod(n) for n = 8240565792 and 8240565801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8240565841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16513911 + ... + 16514409.

It is an arithmetic number, because the mean of its divisors is an integer number (88536000).

Almost surely, 2^8240565840 is an apocalyptic number.

8240565840 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 8240565840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14165760000).

8240565840 is an abundant number, since it is smaller than the sum of its proper divisors (20090954160).

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

8240565840 is a wasteful number, since it uses less digits than its factorization.

8240565840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 8240565840 is about 90777.5624259652. The cubic root of 8240565840 is about 2019.8495002731.

The spelling of 8240565840 in words is "eight billion, two hundred forty million, five hundred sixty-five thousand, eight hundred forty".