85205500 has 48 divisors (see below), whose sum is σ = 195904800. Its totient is φ = 32284800.

The previous prime is 85205429. The next prime is 85205507. The reversal of 85205500 is 550258.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85205507) 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, 5016 + ... + 13984.

It is an arithmetic number, because the mean of its divisors is an integer number (4081350).

Almost surely, 2^85205500 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 85205500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97952400).

85205500 is an abundant number, since it is smaller than the sum of its proper divisors (110699300).

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

85205500 is a wasteful number, since it uses less digits than its factorization.

85205500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9007 (or 8995 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 85205500 is about 9230.6825316441. The cubic root of 85205500 is about 440.0370147924.

Adding to 85205500 its reverse (550258), we get a palindrome (85755758).

The spelling of 85205500 in words is "eighty-five million, two hundred five thousand, five hundred".