85021200 has 360 divisors, whose sum is σ = 341808480. Its totient is φ = 19353600.

The previous prime is 85021193. The next prime is 85021201. The reversal of 85021200 is 212058.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (85021201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 752344 + ... + 752456.

It is an arithmetic number, because the mean of its divisors is an integer number (949468).

Almost surely, 2^85021200 is an apocalyptic number.

85021200 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 85021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170904240).

85021200 is an abundant number, since it is smaller than the sum of its proper divisors (256787280).

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

85021200 is a wasteful number, since it uses less digits than its factorization.

85021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 85021200 is about 9220.6941170391. The cubic root of 85021200 is about 439.7195182122.

Adding to 85021200 its reverse (212058), we get a palindrome (85233258).

The spelling of 85021200 in words is "eighty-five million, twenty-one thousand, two hundred".