85200500 has 96 divisors (see below), whose sum is σ = 232098048. Its totient is φ = 26544000.

The previous prime is 85200439. The next prime is 85200517. The reversal of 85200500 is 500258.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 37394 + ... + 39606.

It is an arithmetic number, because the mean of its divisors is an integer number (2417688).

Almost surely, 2^85200500 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 85200500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116049024).

85200500 is an abundant number, since it is smaller than the sum of its proper divisors (146897548).

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

85200500 is a wasteful number, since it uses less digits than its factorization.

85200500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 85200500 is about 9230.4116917936. The cubic root of 85200500 is about 440.0284072568.

Adding to 85200500 its reverse (500258), we get a palindrome (85700758).

The spelling of 85200500 in words is "eighty-five million, two hundred thousand, five hundred".