6086116806 has 96 divisors (see below), whose sum is σ = 15432426240. Its totient is φ = 1566164160.

The previous prime is 6086116769. The next prime is 6086116831.

6086116806 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548445 + ... + 559431.

It is an arithmetic number, because the mean of its divisors is an integer number (160754440).

Almost surely, 2^6086116806 is an apocalyptic number.

6086116806 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6086116806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7716213120).

6086116806 is an abundant number, since it is smaller than the sum of its proper divisors (9346309434).

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

6086116806 is a wasteful number, since it uses less digits than its factorization.

6086116806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11130 (or 11119 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 6086116806 is about 78013.5680891472. The cubic root of 6086116806 is about 1825.7729189719.

The spelling of 6086116806 in words is "six billion, eighty-six million, one hundred sixteen thousand, eight hundred six".