85305344 has 48 divisors (see below), whose sum is σ = 178083360. Its totient is φ = 40775680.

The previous prime is 85305323. The next prime is 85305347. The reversal of 85305344 is 44350358.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 85305344.

It is not an unprimeable number, because it can be changed into a prime (85305347) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46199 + ... + 48009.

It is an arithmetic number, because the mean of its divisors is an integer number (3710070).

Almost surely, 2^85305344 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 85305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89041680).

85305344 is an abundant number, since it is smaller than the sum of its proper divisors (92778016).

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

85305344 is a wasteful number, since it uses less digits than its factorization.

85305344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 85305344 is about 9236.0892156800. The cubic root of 85305344 is about 440.2088264939.

The spelling of 85305344 in words is "eighty-five million, three hundred five thousand, three hundred forty-four".