85848 has 48 divisors (see below), whose sum is σ = 253080. Its totient is φ = 24192.

The previous prime is 85847. The next prime is 85853. The reversal of 85848 is 84858.

It is a Cunningham number, because it is equal to 293²-1.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

85848 is a Rhonda number in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85848.

It is not an unprimeable number, because it can be changed into a prime (85843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1140 + ... + 1212.

2⁸⁵⁸⁴⁸ 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 85848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126540).

85848 is an abundant number, since it is smaller than the sum of its proper divisors (167232).

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

85848 is a wasteful number, since it uses less digits than its factorization.

85848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 85 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 85848 is about 292.9982935104. The cubic root of 85848 is about 44.1140292981.

Subtracting from 85848 its reverse (84858), we obtain a triangular number (990 = T₄₄).

The spelling of 85848 in words is "eighty-five thousand, eight hundred forty-eight".