85579344 has 120 divisors (see below), whose sum is σ = 260499200. Its totient is φ = 26127360.

The previous prime is 85579327. The next prime is 85579367. The reversal of 85579344 is 44397558.

85579344 is a `hidden beast` number, since 8 + 557 + 93 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85579344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84312 + ... + 85320.

Almost surely, 2^85579344 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 85579344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130249600).

85579344 is an abundant number, since it is smaller than the sum of its proper divisors (174919856).

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

85579344 is a wasteful number, since it uses less digits than its factorization.

85579344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1064 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 85579344 is about 9250.9104416809. The cubic root of 85579344 is about 440.6796383731.

The spelling of 85579344 in words is "eighty-five million, five hundred seventy-nine thousand, three hundred forty-four".