853248 has 72 divisors (see below), whose sum is σ = 2501856. Its totient is φ = 256000.

The previous prime is 853241. The next prime is 853283. The reversal of 853248 is 842358.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8398 + ... + 8498.

It is an arithmetic number, because the mean of its divisors is an integer number (34748).

853248 is a Friedman number, since it can be written as ((8*5)^4-2^8)/3, using all its digits and the basic arithmetic operations.

2⁸⁵³²⁴⁸ is an apocalyptic number.

853248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250928).

853248 is an abundant number, since it is smaller than the sum of its proper divisors (1648608).

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

853248 is a wasteful number, since it uses less digits than its factorization.

853248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 853248 is about 923.7142415271. The cubic root of 853248 is about 94.8473263314.

It can be divided in two parts, 85 and 3248, that added together give a palindrome (3333).

The spelling of 853248 in words is "eight hundred fifty-three thousand, two hundred forty-eight".