806369850 has 192 divisors, whose sum is σ = 2611082880. Its totient is φ = 180403200.

The previous prime is 806369849. The next prime is 806369867. The reversal of 806369850 is 58963608.

806369850 is a `hidden beast` number, since 8 + 0 + 636 + 9 + 8 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 806369796 and 806369805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190962 + ... + 195138.

It is an arithmetic number, because the mean of its divisors is an integer number (13599390).

Almost surely, 2^806369850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806369850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305541440).

806369850 is an abundant number, since it is smaller than the sum of its proper divisors (1804713030).

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

806369850 is a wasteful number, since it uses less digits than its factorization.

806369850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 806369850 is about 28396.6520913998. The cubic root of 806369850 is about 930.7751082293.

The spelling of 806369850 in words is "eight hundred six million, three hundred sixty-nine thousand, eight hundred fifty".