85106320 has 160 divisors (see below), whose sum is σ = 231235200. Its totient is φ = 28864512.

The previous prime is 85106309. The next prime is 85106323. The reversal of 85106320 is 2360158.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85106323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1165804 + ... + 1165876.

It is an arithmetic number, because the mean of its divisors is an integer number (1445220).

Almost surely, 2^85106320 is an apocalyptic number.

85106320 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 85106320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115617600).

85106320 is an abundant number, since it is smaller than the sum of its proper divisors (146128880).

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

85106320 is a wasteful number, since it uses less digits than its factorization.

85106320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 85106320 is about 9225.3086669227. The cubic root of 85106320 is about 439.8662127681.

Adding to 85106320 its reverse (2360158), we get a palindrome (87466478).

The spelling of 85106320 in words is "eighty-five million, one hundred six thousand, three hundred twenty".