850164 has 48 divisors (see below), whose sum is σ = 2352000. Its totient is φ = 233856.

The previous prime is 850147. The next prime is 850177. The reversal of 850164 is 461058.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 850164.

It is an unprimeable number.

850164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2262 + ... + 2610.

It is an arithmetic number, because the mean of its divisors is an integer number (49000).

2⁸⁵⁰¹⁶⁴ is an apocalyptic number.

850164 is a gapful number since it is divisible by the number (84) 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 850164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176000).

850164 is an abundant number, since it is smaller than the sum of its proper divisors (1501836).

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

850164 is a wasteful number, since it uses less digits than its factorization.

850164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 850164 is about 922.0433829273. The cubic root of 850164 is about 94.7329155618.

The spelling of 850164 in words is "eight hundred fifty thousand, one hundred sixty-four".