85741568 has 78 divisors (see below), whose sum is σ = 189556122. Its totient is φ = 38748160.

The previous prime is 85741553. The next prime is 85741577. The reversal of 85741568 is 86514758.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 83759104 + 1982464 = 9152^2 + 1408^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 495530 + ... + 495702.

Almost surely, 2^85741568 is an apocalyptic number.

85741568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85741568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94778061).

85741568 is an abundant number, since it is smaller than the sum of its proper divisors (103814554).

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

85741568 is a wasteful number, since it uses less digits than its factorization.

85741568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 186 counting only the distinct ones).

The product of its digits is 268800, while the sum is 44.

The square root of 85741568 is about 9259.6742923280. The cubic root of 85741568 is about 440.9579130380.

The spelling of 85741568 in words is "eighty-five million, seven hundred forty-one thousand, five hundred sixty-eight".