85331568 has 80 divisors (see below), whose sum is σ = 266768640. Its totient is φ = 22944768.

The previous prime is 85331549. The next prime is 85331569. The reversal of 85331568 is 86513358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85331569) 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, 1758 + ... + 13181.

It is an arithmetic number, because the mean of its divisors is an integer number (3334608).

Almost surely, 2^85331568 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 85331568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133384320).

85331568 is an abundant number, since it is smaller than the sum of its proper divisors (181437072).

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

85331568 is a wasteful number, since it uses less digits than its factorization.

85331568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14974 (or 14968 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 85331568 is about 9237.5087550703. The cubic root of 85331568 is about 440.2539305597.

It can be divided in two parts, 8533 and 1568, that added together give a palindrome (10101).

The spelling of 85331568 in words is "eighty-five million, three hundred thirty-one thousand, five hundred sixty-eight".