85043200 has 144 divisors (see below), whose sum is σ = 231547680. Its totient is φ = 30720000.

The previous prime is 85043191. The next prime is 85043201. The reversal of 85043200 is 234058.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (85043201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563125 + ... + 563275.

It is an arithmetic number, because the mean of its divisors is an integer number (1607970).

Almost surely, 2^85043200 is an apocalyptic number.

85043200 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 85043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

85043200 is an abundant number, since it is smaller than the sum of its proper divisors (146504480).

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

85043200 is a wasteful number, since it uses less digits than its factorization.

85043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 85043200 is about 9221.8870086333. The cubic root of 85043200 is about 439.7574420677.

Adding to 85043200 its reverse (234058), we get a palindrome (85277258).

The spelling of 85043200 in words is "eighty-five million, forty-three thousand, two hundred".