806864058 has 384 divisors, whose sum is σ = 2574028800. Its totient is φ = 181906560.

The previous prime is 806864041. The next prime is 806864059. The reversal of 806864058 is 850468608.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (806864059) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13675633 + ... + 13675691.

It is an arithmetic number, because the mean of its divisors is an integer number (6703200).

Almost surely, 2^806864058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806864058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287014400).

806864058 is an abundant number, since it is smaller than the sum of its proper divisors (1767164742).

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

806864058 is a wasteful number, since it uses less digits than its factorization.

806864058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 806864058 is about 28405.3526293901. The cubic root of 806864058 is about 930.9652205631.

The spelling of 806864058 in words is "eight hundred six million, eight hundred sixty-four thousand, fifty-eight".