85080832 has 72 divisors (see below), whose sum is σ = 178073280. Its totient is φ = 40535040.

The previous prime is 85080829. The next prime is 85080839. The reversal of 85080832 is 23808058.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85080839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649407 + ... + 649537.

It is an arithmetic number, because the mean of its divisors is an integer number (2473240).

Almost surely, 2^85080832 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 85080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89036640).

85080832 is an abundant number, since it is smaller than the sum of its proper divisors (92992448).

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

85080832 is a wasteful number, since it uses less digits than its factorization.

85080832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 85080832 is about 9223.9271462864. The cubic root of 85080832 is about 439.8222973870.

The spelling of 85080832 in words is "eighty-five million, eighty thousand, eight hundred thirty-two".