85285920 has 48 divisors (see below), whose sum is σ = 268652160. Its totient is φ = 22742784.

The previous prime is 85285913. The next prime is 85285939. The reversal of 85285920 is 2958258.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88360 + ... + 89319.

It is an arithmetic number, because the mean of its divisors is an integer number (5596920).

Almost surely, 2^85285920 is an apocalyptic number.

85285920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85285920 is an abundant number, since it is smaller than the sum of its proper divisors (183366240).

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

85285920 is a wasteful number, since it uses less digits than its factorization.

85285920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177697 (or 177689 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 85285920 is about 9235.0376285102. The cubic root of 85285920 is about 440.1754121539.

The spelling of 85285920 in words is "eighty-five million, two hundred eighty-five thousand, nine hundred twenty".