85052220 has 96 divisors (see below), whose sum is σ = 268240896. Its totient is φ = 19948800.

The previous prime is 85052197. The next prime is 85052243. The reversal of 85052220 is 2225058.

85052220 = T₁₂₆₁ + T₁₂₆₂ + ... + T₁₃₅₉.

It is an interprime number because it is at equal distance from previous prime (85052197) and next prime (85052243).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18382 + ... + 22538.

It is an arithmetic number, because the mean of its divisors is an integer number (2794176).

Almost surely, 2^85052220 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 85052220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134120448).

85052220 is an abundant number, since it is smaller than the sum of its proper divisors (183188676).

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

85052220 is a wasteful number, since it uses less digits than its factorization.

85052220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4209 counting only the distinct ones).

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

The square root of 85052220 is about 9222.3760495872. The cubic root of 85052220 is about 439.7729889580.

Adding to 85052220 its reverse (2225058), we get a palindrome (87277278).

The spelling of 85052220 in words is "eighty-five million, fifty-two thousand, two hundred twenty".