850889160 has 384 divisors, whose sum is σ = 3261772800. Its totient is φ = 190149120.

The previous prime is 850889159. The next prime is 850889173. The reversal of 850889160 is 61988058.

850889160 is a `hidden beast` number, since 8 + 508 + 89 + 1 + 60 = 666.

850889160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3235189 + ... + 3235451.

It is an arithmetic number, because the mean of its divisors is an integer number (8494200).

Almost surely, 2^850889160 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 850889160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630886400).

850889160 is an abundant number, since it is smaller than the sum of its proper divisors (2410883640).

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

850889160 is a wasteful number, since it uses less digits than its factorization.

850889160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 850889160 is about 29170.0044566332. The cubic root of 850889160 is about 947.5984252267.

The spelling of 850889160 in words is "eight hundred fifty million, eight hundred eighty-nine thousand, one hundred sixty".