850529160 has 384 divisors, whose sum is σ = 3170119680. Its totient is φ = 203793408.

The previous prime is 850529153. The next prime is 850529171. The reversal of 850529160 is 61925058.

It is a happy number.

850529160 is a `hidden beast` number, since 8 + 505 + 2 + 91 + 60 = 666.

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

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, 6697017 + ... + 6697143.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2^850529160 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 850529160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585059840).

850529160 is an abundant number, since it is smaller than the sum of its proper divisors (2319590520).

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

850529160 is a wasteful number, since it uses less digits than its factorization.

850529160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 850529160 is about 29163.8330814041. The cubic root of 850529160 is about 947.4647675697.

The spelling of 850529160 in words is "eight hundred fifty million, five hundred twenty-nine thousand, one hundred sixty".