85349712 has 80 divisors (see below), whose sum is σ = 253019520. Its totient is φ = 24285696.

The previous prime is 85349701. The next prime is 85349717. The reversal of 85349712 is 21794358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85349717) 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, 130378 + ... + 131030.

It is an arithmetic number, because the mean of its divisors is an integer number (3162744).

Almost surely, 2^85349712 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 85349712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126509760).

85349712 is an abundant number, since it is smaller than the sum of its proper divisors (167669808).

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

85349712 is a wasteful number, since it uses less digits than its factorization.

85349712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1054 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 85349712 is about 9238.4907858373. The cubic root of 85349712 is about 440.2851319912.

The spelling of 85349712 in words is "eighty-five million, three hundred forty-nine thousand, seven hundred twelve".