85041800 has 96 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 32590080.

The previous prime is 85041797. The next prime is 85041811. The reversal of 85041800 is 814058.

It is a self number, because there is not a number n which added to its sum of digits gives 85041800.

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, 780146 + ... + 780254.

It is an arithmetic number, because the mean of its divisors is an integer number (2148300).

Almost surely, 2^85041800 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 85041800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

85041800 is an abundant number, since it is smaller than the sum of its proper divisors (121195000).

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

85041800 is a wasteful number, since it uses less digits than its factorization.

85041800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 85041800 is about 9221.8111019474. The cubic root of 85041800 is about 439.7550289263.

Adding to 85041800 its reverse (814058), we get a palindrome (85855858).

The spelling of 85041800 in words is "eighty-five million, forty-one thousand, eight hundred".