85066384 has 40 divisors (see below), whose sum is σ = 181641152. Its totient is φ = 38344320.

The previous prime is 85066379. The next prime is 85066393. The reversal of 85066384 is 48366058.

It is a super-3 number, since 3×85066384³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4189 + ... + 13699.

Almost surely, 2^85066384 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 85066384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90820576).

85066384 is an abundant number, since it is smaller than the sum of its proper divisors (96574768).

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

85066384 is a wasteful number, since it uses less digits than its factorization.

85066384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 85066384 is about 9223.1439325211. The cubic root of 85066384 is about 439.7973998390.

The spelling of 85066384 in words is "eighty-five million, sixty-six thousand, three hundred eighty-four".