85221200 has 60 divisors (see below), whose sum is σ = 205788540. Its totient is φ = 33914880.

The previous prime is 85221197. The next prime is 85221203. The reversal of 85221200 is 212258.

It is an interprime number because it is at equal distance from previous prime (85221197) and next prime (85221203).

It can be written as a sum of positive squares in 6 ways, for example, as 4293184 + 80928016 = 2072^2 + 8996^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85221203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102386 + ... + 103214.

It is an arithmetic number, because the mean of its divisors is an integer number (3429809).

Almost surely, 2^85221200 is an apocalyptic number.

85221200 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 85221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102894270).

85221200 is an abundant number, since it is smaller than the sum of its proper divisors (120567340).

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

85221200 is a wasteful number, since it uses less digits than its factorization.

85221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 85221200 is about 9231.5329171270. The cubic root of 85221200 is about 440.0640402655.

Adding to 85221200 its reverse (212258), we get a palindrome (85433458).

The spelling of 85221200 in words is "eighty-five million, two hundred twenty-one thousand, two hundred".