85175760 has 80 divisors (see below), whose sum is σ = 268036416. Its totient is φ = 22370304.

The previous prime is 85175731. The next prime is 85175771. The reversal of 85175760 is 6757158.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 13432 + ... + 18728.

Almost surely, 2^85175760 is an apocalyptic number.

85175760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85175760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134018208).

85175760 is an abundant number, since it is smaller than the sum of its proper divisors (182860656).

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

85175760 is a wasteful number, since it uses less digits than its factorization.

85175760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5380 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The square root of 85175760 is about 9229.0714592531. The cubic root of 85175760 is about 439.9858122147.

The spelling of 85175760 in words is "eighty-five million, one hundred seventy-five thousand, seven hundred sixty".