85360176 has 240 divisors, whose sum is σ = 284981760. Its totient is φ = 24393600.

The previous prime is 85360159. The next prime is 85360201. The reversal of 85360176 is 67106358.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85360176.

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 47 ways as a sum of consecutive naturals, for example, 1202221 + ... + 1202291.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^85360176 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 85360176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

85360176 is an abundant number, since it is smaller than the sum of its proper divisors (199621584).

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

85360176 is a wasteful number, since it uses less digits than its factorization.

85360176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 85360176 is about 9239.0570947473. The cubic root of 85360176 is about 440.3031244571.

The spelling of 85360176 in words is "eighty-five million, three hundred sixty thousand, one hundred seventy-six".