806232232608 has 192 divisors, whose sum is σ = 2332299723264. Its totient is φ = 241833600000.

The previous prime is 806232232591. The next prime is 806232232609.

806232232608 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 806232232608.

It is not an unprimeable number, because it can be changed into a prime (806232232609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43194798 + ... + 43213458.

It is an arithmetic number, because the mean of its divisors is an integer number (12147394392).

Almost surely, 2^806232232608 is an apocalyptic number.

806232232608 is a gapful number since it is divisible by the number (88) 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 806232232608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166149861632).

806232232608 is an abundant number, since it is smaller than the sum of its proper divisors (1526067490656).

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

806232232608 is a wasteful number, since it uses less digits than its factorization.

806232232608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19099 (or 19091 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 806232232608 in words is "eight hundred six billion, two hundred thirty-two million, two hundred thirty-two thousand, six hundred eight".