85730844 has 48 divisors (see below), whose sum is σ = 215953920. Its totient is φ = 26389440.

The previous prime is 85730809. The next prime is 85730849. The reversal of 85730844 is 44803758.

It is a super-2 number, since 2×85730844² = 14699555225904672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85730849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2649 + ... + 13359.

It is an arithmetic number, because the mean of its divisors is an integer number (4499040).

Almost surely, 2^85730844 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 85730844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107976960).

85730844 is an abundant number, since it is smaller than the sum of its proper divisors (130223076).

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

85730844 is a wasteful number, since it uses less digits than its factorization.

85730844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10770 (or 10768 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 85730844 is about 9259.0952041763. The cubic root of 85730844 is about 440.9395282182.

The spelling of 85730844 in words is "eighty-five million, seven hundred thirty thousand, eight hundred forty-four".