850864014 has 336 divisors, whose sum is σ = 2637575136. Its totient is φ = 200154240.

The previous prime is 850864013. The next prime is 850864019. The reversal of 850864014 is 410468058.

850864014 is a `hidden beast` number, since 8 + 5 + 0 + 8 + 640 + 1 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 850864014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850864013) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 16054012 + ... + 16054064.

It is an arithmetic number, because the mean of its divisors is an integer number (7849926).

Almost surely, 2^850864014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850864014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318787568).

850864014 is an abundant number, since it is smaller than the sum of its proper divisors (1786711122).

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

850864014 is a wasteful number, since it uses less digits than its factorization.

850864014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 850864014 is about 29169.5734284888. The cubic root of 850864014 is about 947.5890904642.

The spelling of 850864014 in words is "eight hundred fifty million, eight hundred sixty-four thousand, fourteen".