85225200 has 240 divisors, whose sum is σ = 295219200. Its totient is φ = 20966400.

The previous prime is 85225193. The next prime is 85225201. The reversal of 85225200 is 252258.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85225201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078761 + ... + 1078839.

It is an arithmetic number, because the mean of its divisors is an integer number (1230080).

Almost surely, 2^85225200 is an apocalyptic number.

85225200 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 85225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147609600).

85225200 is an abundant number, since it is smaller than the sum of its proper divisors (209994000).

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

85225200 is a wasteful number, since it uses less digits than its factorization.

85225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 85225200 is about 9231.7495633276. The cubic root of 85225200 is about 440.0709252058.

Adding to 85225200 its reverse (252258), we get a palindrome (85477458).

The spelling of 85225200 in words is "eighty-five million, two hundred twenty-five thousand, two hundred".