85211280 has 480 divisors, whose sum is σ = 376047360. Its totient is φ = 16773120.

The previous prime is 85211239. The next prime is 85211311. The reversal of 85211280 is 8211258.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1607734 + ... + 1607786.

It is an arithmetic number, because the mean of its divisors is an integer number (783432).

Almost surely, 2^85211280 is an apocalyptic number.

85211280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85211280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

85211280 is an abundant number, since it is smaller than the sum of its proper divisors (290836080).

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

85211280 is a wasteful number, since it uses less digits than its factorization.

85211280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 85211280 is about 9230.9956126086. The cubic root of 85211280 is about 440.0469646839.

It can be divided in two parts, 85211 and 280, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 85211280 in words is "eighty-five million, two hundred eleven thousand, two hundred eighty".