851806872 has 96 divisors (see below), whose sum is σ = 2641267200. Its totient is φ = 242937792.

The previous prime is 851806861. The next prime is 851806957. The reversal of 851806872 is 278608158.

851806872 is a `hidden beast` number, since 8 + 518 + 0 + 68 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371313 + ... + 373599.

It is an arithmetic number, because the mean of its divisors is an integer number (27513200).

Almost surely, 2^851806872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851806872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320633600).

851806872 is an abundant number, since it is smaller than the sum of its proper divisors (1789460328).

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

851806872 is a wasteful number, since it uses less digits than its factorization.

851806872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 851806872 is about 29185.7306230288. The cubic root of 851806872 is about 947.9389748679.

The spelling of 851806872 in words is "eight hundred fifty-one million, eight hundred six thousand, eight hundred seventy-two".