85012200 has 384 divisors, whose sum is σ = 362476800. Its totient is φ = 17832960.

The previous prime is 85012157. The next prime is 85012201. The reversal of 85012200 is 221058.

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 (85012201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 491314 + ... + 491486.

It is an arithmetic number, because the mean of its divisors is an integer number (943950).

Almost surely, 2^85012200 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 85012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181238400).

85012200 is an abundant number, since it is smaller than the sum of its proper divisors (277464600).

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

85012200 is a wasteful number, since it uses less digits than its factorization.

85012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

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

The square root of 85012200 is about 9220.2060714498. The cubic root of 85012200 is about 439.7040020220.

Adding to 85012200 its reverse (221058), we get a palindrome (85233258).

It can be divided in two parts, 8501 and 2200, that added together give a palindrome (10701).

The spelling of 85012200 in words is "eighty-five million, twelve thousand, two hundred".