851838120 has 480 divisors, whose sum is σ = 3468769920. Its totient is φ = 183617280.

The previous prime is 851838103. The next prime is 851838131. The reversal of 851838120 is 21838158.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 11997685 + ... + 11997755.

It is an arithmetic number, because the mean of its divisors is an integer number (7226604).

Almost surely, 2^851838120 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 851838120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734384960).

851838120 is an abundant number, since it is smaller than the sum of its proper divisors (2616931800).

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

851838120 is a wasteful number, since it uses less digits than its factorization.

851838120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 851838120 is about 29186.2659482161. The cubic root of 851838120 is about 947.9505662414.

The spelling of 851838120 in words is "eight hundred fifty-one million, eight hundred thirty-eight thousand, one hundred twenty".