85689444 has 48 divisors (see below), whose sum is σ = 211542912. Its totient is φ = 26940672.

The previous prime is 85689419. The next prime is 85689451. The reversal of 85689444 is 44498658.

It is a junction number, because it is equal to n+sod(n) for n = 85689393 and 85689402.

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, 18022 + ... + 22274.

It is an arithmetic number, because the mean of its divisors is an integer number (4407144).

Almost surely, 2^85689444 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 85689444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105771456).

85689444 is an abundant number, since it is smaller than the sum of its proper divisors (125853468).

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

85689444 is a wasteful number, since it uses less digits than its factorization.

85689444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356 (or 4354 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 85689444 is about 9256.8592945988. The cubic root of 85689444 is about 440.8685392374.

The spelling of 85689444 in words is "eighty-five million, six hundred eighty-nine thousand, four hundred forty-four".