85005200 has 90 divisors (see below), whose sum is σ = 237622626. Its totient is φ = 29137920.

The previous prime is 85005191. The next prime is 85005203. The reversal of 85005200 is 250058.

It can be written as a sum of positive squares in 3 ways, for example, as 659344 + 84345856 = 812^2 + 9184^2 .

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

It is not an unprimeable number, because it can be changed into a prime (85005203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17432 + ... + 21768.

Almost surely, 2^85005200 is an apocalyptic number.

85005200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118811313).

85005200 is an abundant number, since it is smaller than the sum of its proper divisors (152617426).

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

85005200 is a wasteful number, since it uses less digits than its factorization.

85005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369 (or 4351 counting only the distinct ones).

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

The square root of 85005200 is about 9219.8264625751. The cubic root of 85005200 is about 439.6919331170.

Adding to 85005200 its reverse (250058), we get a palindrome (85255258).

The spelling of 85005200 in words is "eighty-five million, five thousand, two hundred".