8206095840 has 192 divisors, whose sum is σ = 27532685376. Its totient is φ = 2047311872.

The previous prime is 8206095827. The next prime is 8206095851. The reversal of 8206095840 is 485906028.

It is a junction number, because it is equal to n+sod(n) for n = 8206095792 and 8206095801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1408774 + ... + 1414586.

It is an arithmetic number, because the mean of its divisors is an integer number (143399403).

Almost surely, 2^8206095840 is an apocalyptic number.

8206095840 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 8206095840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13766342688).

8206095840 is an abundant number, since it is smaller than the sum of its proper divisors (19326589536).

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

8206095840 is a wasteful number, since it uses less digits than its factorization.

8206095840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6021 (or 6013 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 8206095840 is about 90587.5037739754. The cubic root of 8206095840 is about 2017.0292442208.

The spelling of 8206095840 in words is "eight billion, two hundred six million, ninety-five thousand, eight hundred forty".