85384860 has 144 divisors (see below), whose sum is σ = 277065600. Its totient is φ = 19578240.

The previous prime is 85384847. The next prime is 85384861. The reversal of 85384860 is 6848358.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85384861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137631 + ... + 138249.

Almost surely, 2^85384860 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 85384860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138532800).

85384860 is an abundant number, since it is smaller than the sum of its proper divisors (191680740).

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

85384860 is a wasteful number, since it uses less digits than its factorization.

85384860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 85384860 is about 9240.3928487917. The cubic root of 85384860 is about 440.3455618691.

The spelling of 85384860 in words is "eighty-five million, three hundred eighty-four thousand, eight hundred sixty".