85296 has 20 divisors (see below), whose sum is σ = 220472. Its totient is φ = 28416.

The previous prime is 85259. The next prime is 85297. The reversal of 85296 is 69258.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (85297) by changing a digit.

85296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 841 + ... + 936.

2⁸⁵²⁹⁶ is an apocalyptic number.

It is an amenable number.

85296 is an abundant number, since it is smaller than the sum of its proper divisors (135176).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110236).

85296 is a wasteful number, since it uses less digits than its factorization.

85296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1782 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 85296 is about 292.0547893803. The cubic root of 85296 is about 44.0192753013.

The spelling of 85296 in words is "eighty-five thousand, two hundred ninety-six".