85744288 has 48 divisors (see below), whose sum is σ = 193777920. Its totient is φ = 36585216.

The previous prime is 85744273. The next prime is 85744289. The reversal of 85744288 is 88244758.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85744289) 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 7 ways as a sum of consecutive naturals, for example, 59545 + ... + 60967.

It is an arithmetic number, because the mean of its divisors is an integer number (4037040).

Almost surely, 2^85744288 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 85744288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96888960).

85744288 is an abundant number, since it is smaller than the sum of its proper divisors (108033632).

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

85744288 is a wasteful number, since it uses less digits than its factorization.

85744288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1701 counting only the distinct ones).

The product of its digits is 573440, while the sum is 46.

The square root of 85744288 is about 9259.8211645798. The cubic root of 85744288 is about 440.9625758593.

The spelling of 85744288 in words is "eighty-five million, seven hundred forty-four thousand, two hundred eighty-eight".