85569220 has 48 divisors (see below), whose sum is σ = 198023616. Its totient is φ = 30800000.

The previous prime is 85569203. The next prime is 85569221. The reversal of 85569220 is 2296558.

It is a happy number.

It is a super-2 number, since 2×85569220² = 14644182822816800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85569220.

It is not an unprimeable number, because it can be changed into a prime (85569221) 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 15 ways as a sum of consecutive naturals, for example, 20295 + ... + 24145.

It is an arithmetic number, because the mean of its divisors is an integer number (4125492).

Almost surely, 2^85569220 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 85569220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99011808).

85569220 is an abundant number, since it is smaller than the sum of its proper divisors (112454396).

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

85569220 is a wasteful number, since it uses less digits than its factorization.

85569220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 85569220 is about 9250.3632361113. The cubic root of 85569220 is about 440.6622602832.

The spelling of 85569220 in words is "eighty-five million, five hundred sixty-nine thousand, two hundred twenty".