85771056 has 80 divisors (see below), whose sum is σ = 254261504. Its totient is φ = 24406272.

The previous prime is 85771051. The next prime is 85771061. The reversal of 85771056 is 65017758.

It is an interprime number because it is at equal distance from previous prime (85771051) and next prime (85771061).

It is not an unprimeable number, because it can be changed into a prime (85771051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133071 + ... + 133713.

Almost surely, 2^85771056 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 85771056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127130752).

85771056 is an abundant number, since it is smaller than the sum of its proper divisors (168490448).

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

85771056 is a wasteful number, since it uses less digits than its factorization.

85771056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The square root of 85771056 is about 9261.2664360767. The cubic root of 85771056 is about 441.0084582476.

The spelling of 85771056 in words is "eighty-five million, seven hundred seventy-one thousand, fifty-six".