85344584 has 32 divisors (see below), whose sum is σ = 174424320. Its totient is φ = 38911296.

The previous prime is 85344583. The next prime is 85344601. The reversal of 85344584 is 48544358.

It is not an unprimeable number, because it can be changed into a prime (85344583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3689 + ... + 13575.

It is an arithmetic number, because the mean of its divisors is an integer number (5450760).

Almost surely, 2^85344584 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 85344584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87212160).

85344584 is an abundant number, since it is smaller than the sum of its proper divisors (89079736).

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

85344584 is a wasteful number, since it uses less digits than its factorization.

85344584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9989 (or 9985 counting only the distinct ones).

The product of its digits is 307200, while the sum is 41.

The square root of 85344584 is about 9238.2132471599. The cubic root of 85344584 is about 440.2763140455.

The spelling of 85344584 in words is "eighty-five million, three hundred forty-four thousand, five hundred eighty-four".