850988160 has 512 divisors, whose sum is σ = 3404678400. Its totient is φ = 200724480.

The previous prime is 850988147. The next prime is 850988191. The reversal of 850988160 is 61889058.

850988160 is a `hidden beast` number, since 8 + 509 + 8 + 81 + 60 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 22999662 + ... + 22999698.

Almost surely, 2^850988160 is an apocalyptic number.

850988160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702339200).

850988160 is an abundant number, since it is smaller than the sum of its proper divisors (2553690240).

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

850988160 is a wasteful number, since it uses less digits than its factorization.

850988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 58 counting only the distinct ones).

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

The square root of 850988160 is about 29171.7013559374. The cubic root of 850988160 is about 947.6351744730.

It can be divided in two parts, 8509 and 88160, that added together give a palindrome (96669).

The spelling of 850988160 in words is "eight hundred fifty million, nine hundred eighty-eight thousand, one hundred sixty".