850434160 has 80 divisors (see below), whose sum is σ = 2064510720. Its totient is φ = 325416960.

The previous prime is 850434157. The next prime is 850434161. The reversal of 850434160 is 61434058.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850434161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218794 + ... + 222646.

It is an arithmetic number, because the mean of its divisors is an integer number (25806384).

Almost surely, 2^850434160 is an apocalyptic number.

850434160 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 850434160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032255360).

850434160 is an abundant number, since it is smaller than the sum of its proper divisors (1214076560).

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

850434160 is a wasteful number, since it uses less digits than its factorization.

850434160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 850434160 is about 29162.2043062592. The cubic root of 850434160 is about 947.4294905099.

The spelling of 850434160 in words is "eight hundred fifty million, four hundred thirty-four thousand, one hundred sixty".