85102220 has 72 divisors (see below), whose sum is σ = 213602256. Its totient is φ = 28377216.

The previous prime is 85102207. The next prime is 85102229. The reversal of 85102220 is 2220158.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 85102192 and 85102201.

It is not an unprimeable number, because it can be changed into a prime (85102229) 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 23 ways as a sum of consecutive naturals, for example, 35087 + ... + 37433.

It is an arithmetic number, because the mean of its divisors is an integer number (2966698).

Almost surely, 2^85102220 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 85102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106801128).

85102220 is an abundant number, since it is smaller than the sum of its proper divisors (128500036).

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

85102220 is a wasteful number, since it uses less digits than its factorization.

85102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 85102220 is about 9225.0864494594. The cubic root of 85102220 is about 439.8591491311.

Adding to 85102220 its reverse (2220158), we get a palindrome (87322378).

The spelling of 85102220 in words is "eighty-five million, one hundred two thousand, two hundred twenty".