85241856 has 104 divisors (see below), whose sum is σ = 260015104. Its totient is φ = 24330240.

The previous prime is 85241851. The next prime is 85241921. The reversal of 85241856 is 65814258.

It is not an unprimeable number, because it can be changed into a prime (85241851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85521 + ... + 86511.

Almost surely, 2^85241856 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 85241856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130007552).

85241856 is an abundant number, since it is smaller than the sum of its proper divisors (174773248).

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

85241856 is an equidigital number, since it uses as much as digits as its factorization.

85241856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1003 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 85241856 is about 9232.6516234503. The cubic root of 85241856 is about 440.0995917813.

The spelling of 85241856 in words is "eighty-five million, two hundred forty-one thousand, eight hundred fifty-six".