85789752 has 64 divisors (see below), whose sum is σ = 228199680. Its totient is φ = 26783232.

The previous prime is 85789721. The next prime is 85789763. The reversal of 85789752 is 25798758.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 85789695 and 85789704.

It is a congruent number.

It is an unprimeable number.

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, 115093 + ... + 115835.

It is an arithmetic number, because the mean of its divisors is an integer number (3565620).

Almost surely, 2^85789752 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 85789752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114099840).

85789752 is an abundant number, since it is smaller than the sum of its proper divisors (142409928).

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

85789752 is a wasteful number, since it uses less digits than its factorization.

85789752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1048 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 51.

The square root of 85789752 is about 9262.2757462732. The cubic root of 85789752 is about 441.0404989519.

It can be divided in two parts, 857 and 89752, that added together give a palindrome (90609).

The spelling of 85789752 in words is "eighty-five million, seven hundred eighty-nine thousand, seven hundred fifty-two".