85605080 has 96 divisors (see below), whose sum is σ = 221205600. Its totient is φ = 29736960.

The previous prime is 85605073. The next prime is 85605097. The reversal of 85605080 is 8050658.

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 23 ways as a sum of consecutive naturals, for example, 110936 + ... + 111704.

It is an arithmetic number, because the mean of its divisors is an integer number (2304225).

Almost surely, 2^85605080 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 85605080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110602800).

85605080 is an abundant number, since it is smaller than the sum of its proper divisors (135600520).

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

85605080 is a wasteful number, since it uses less digits than its factorization.

85605080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 85605080 is about 9252.3013353435. The cubic root of 85605080 is about 440.7238086676.

The spelling of 85605080 in words is "eighty-five million, six hundred five thousand, eighty".