85344384 has 64 divisors (see below), whose sum is σ = 228888000. Its totient is φ = 28173312.

The previous prime is 85344323. The next prime is 85344397. The reversal of 85344384 is 48344358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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, 40837 + ... + 42875.

It is an arithmetic number, because the mean of its divisors is an integer number (3576375).

Almost surely, 2^85344384 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 85344384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114444000).

85344384 is an abundant number, since it is smaller than the sum of its proper divisors (143543616).

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

85344384 is a wasteful number, since it uses less digits than its factorization.

85344384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2153 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 85344384 is about 9238.2024225495. The cubic root of 85344384 is about 440.2759701247.

The spelling of 85344384 in words is "eighty-five million, three hundred forty-four thousand, three hundred eighty-four".