85802444 has 48 divisors (see below), whose sum is σ = 186617088. Its totient is φ = 33611328.

The previous prime is 85802441. The next prime is 85802447. The reversal of 85802444 is 44420858.

It is an interprime number because it is at equal distance from previous prime (85802441) and next prime (85802447).

It is not an unprimeable number, because it can be changed into a prime (85802441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37847 + ... + 40049.

It is an arithmetic number, because the mean of its divisors is an integer number (3887856).

Almost surely, 2^85802444 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 85802444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93308544).

85802444 is an abundant number, since it is smaller than the sum of its proper divisors (100814644).

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

85802444 is a wasteful number, since it uses less digits than its factorization.

85802444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The square root of 85802444 is about 9262.9608657275. The cubic root of 85802444 is about 441.0622475091.

The spelling of 85802444 in words is "eighty-five million, eight hundred two thousand, four hundred forty-four".