85039616 has 60 divisors (see below), whose sum is σ = 177148818. Its totient is φ = 40753152.

The previous prime is 85039531. The next prime is 85039621. The reversal of 85039616 is 61693058.

It can be written as a sum of positive squares in only one way, i.e., 56310016 + 28729600 = 7504^2 + 5360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85039616.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1269215 + ... + 1269281.

Almost surely, 2^85039616 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 85039616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88574409).

85039616 is an abundant number, since it is smaller than the sum of its proper divisors (92109202).

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

85039616 is an frugal number, since it uses more digits than its factorization.

85039616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 85039616 is about 9221.6926862697. The cubic root of 85039616 is about 439.7512643729.

The spelling of 85039616 in words is "eighty-five million, thirty-nine thousand, six hundred sixteen".