85872384 has 216 divisors, whose sum is σ = 276773952. Its totient is φ = 25436160.

The previous prime is 85872379. The next prime is 85872401. The reversal of 85872384 is 48327858.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1407714 + ... + 1407774.

Almost surely, 2^85872384 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 85872384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138386976).

85872384 is an abundant number, since it is smaller than the sum of its proper divisors (190901568).

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

85872384 is a wasteful number, since it uses less digits than its factorization.

85872384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 85872384 is about 9266.7353474673. The cubic root of 85872384 is about 441.1820557348.

The spelling of 85872384 in words is "eighty-five million, eight hundred seventy-two thousand, three hundred eighty-four".