85381616 has 40 divisors (see below), whose sum is σ = 177176160. Its totient is φ = 39716864.

The previous prime is 85381609. The next prime is 85381643. The reversal of 85381616 is 61618358.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 85381616.

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 7 ways as a sum of consecutive naturals, for example, 22445 + ... + 25971.

It is an arithmetic number, because the mean of its divisors is an integer number (4429404).

Almost surely, 2^85381616 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 85381616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88588080).

85381616 is an abundant number, since it is smaller than the sum of its proper divisors (91794544).

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

85381616 is a wasteful number, since it uses less digits than its factorization.

85381616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641 (or 3635 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The square root of 85381616 is about 9240.2173134618. The cubic root of 85381616 is about 440.3399851619.

The spelling of 85381616 in words is "eighty-five million, three hundred eighty-one thousand, six hundred sixteen".