85641696 has 144 divisors (see below), whose sum is σ = 290594304. Its totient is φ = 23392512.

The previous prime is 85641679. The next prime is 85641697. The reversal of 85641696 is 69614658.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85641697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45445 + ... + 47291.

It is an arithmetic number, because the mean of its divisors is an integer number (2018016).

Almost surely, 2^85641696 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 85641696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145297152).

85641696 is an abundant number, since it is smaller than the sum of its proper divisors (204952608).

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

85641696 is a wasteful number, since it uses less digits than its factorization.

85641696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1882 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 85641696 is about 9254.2798747390. The cubic root of 85641696 is about 440.7866368809.

The spelling of 85641696 in words is "eighty-five million, six hundred forty-one thousand, six hundred ninety-six".