85716288 has 126 divisors (see below), whose sum is σ = 285897066. Its totient is φ = 24482304.

The previous prime is 85716259. The next prime is 85716299. The reversal of 85716288 is 88261758.

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 3415104 = 9072^2 + 1848^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 26706 + ... + 29742.

Almost surely, 2^85716288 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 85716288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142948533).

85716288 is an abundant number, since it is smaller than the sum of its proper divisors (200180778).

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

85716288 is a wasteful number, since it uses less digits than its factorization.

85716288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3049 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 85716288 is about 9258.3091328817. The cubic root of 85716288 is about 440.9145715097.

The spelling of 85716288 in words is "eighty-five million, seven hundred sixteen thousand, two hundred eighty-eight".