85206420 has 108 divisors (see below), whose sum is σ = 279970236. Its totient is φ = 20966400.

The previous prime is 85206419. The next prime is 85206463. The reversal of 85206420 is 2460258.

It can be written as a sum of positive squares in 6 ways, for example, as 16548624 + 68657796 = 4068^2 + 8286^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29020 + ... + 31820.

It is an arithmetic number, because the mean of its divisors is an integer number (2592317).

Almost surely, 2^85206420 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 85206420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139985118).

85206420 is an abundant number, since it is smaller than the sum of its proper divisors (194763816).

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

85206420 is a wasteful number, since it uses less digits than its factorization.

85206420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 85206420 is about 9230.7323653110. The cubic root of 85206420 is about 440.0385985423.

Adding to 85206420 its reverse (2460258), we get a palindrome (87666678).

The spelling of 85206420 in words is "eighty-five million, two hundred six thousand, four hundred twenty".