85202120 has 64 divisors (see below), whose sum is σ = 205528320. Its totient is φ = 31705344.

The previous prime is 85202119. The next prime is 85202123. The reversal of 85202120 is 2120258.

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 = 85202092 and 85202101.

It is not an unprimeable number, because it can be changed into a prime (85202123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32789 + ... + 35291.

It is an arithmetic number, because the mean of its divisors is an integer number (3211380).

Almost surely, 2^85202120 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 85202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102764160).

85202120 is an abundant number, since it is smaller than the sum of its proper divisors (120326200).

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

85202120 is a wasteful number, since it uses less digits than its factorization.

85202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2570 counting only the distinct ones).

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

The square root of 85202120 is about 9230.4994447755. The cubic root of 85202120 is about 440.0311961352.

Adding to 85202120 its reverse (2120258), we get a palindrome (87322378).

The spelling of 85202120 in words is "eighty-five million, two hundred two thousand, one hundred twenty".