85209792 has 56 divisors (see below), whose sum is σ = 228209856. Its totient is φ = 28055808.

The previous prime is 85209791. The next prime is 85209821. The reversal of 85209792 is 29790258.

It is not an unprimeable number, because it can be changed into a prime (85209791) 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, 13263 + ... + 18609.

It is an arithmetic number, because the mean of its divisors is an integer number (4075176).

Almost surely, 2^85209792 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 85209792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114104928).

85209792 is an abundant number, since it is smaller than the sum of its proper divisors (143000064).

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

85209792 is a wasteful number, since it uses less digits than its factorization.

85209792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5445 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 85209792 is about 9230.9150142334. The cubic root of 85209792 is about 440.0444032323.

The spelling of 85209792 in words is "eighty-five million, two hundred nine thousand, seven hundred ninety-two".