85371066 has 72 divisors (see below), whose sum is σ = 214119360. Its totient is φ = 24496560.

The previous prime is 85371049. The next prime is 85371067. The reversal of 85371066 is 66017358.

It is a self number, because there is not a number n which added to its sum of digits gives 85371066.

It is not an unprimeable number, because it can be changed into a prime (85371067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40351 + ... + 42413.

It is an arithmetic number, because the mean of its divisors is an integer number (2973880).

Almost surely, 2^85371066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85371066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107059680).

85371066 is an abundant number, since it is smaller than the sum of its proper divisors (128748294).

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

85371066 is a wasteful number, since it uses less digits than its factorization.

85371066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 85371066 is about 9239.6464218064. The cubic root of 85371066 is about 440.3218478531.

It can be divided in two parts, 853710 and 66, that added together give a square (853776 = 924²).

The spelling of 85371066 in words is "eighty-five million, three hundred seventy-one thousand, sixty-six".