825344 has 48 divisors (see below), whose sum is σ = 1834560. Its totient is φ = 368640.

The previous prime is 825343. The next prime is 825347. The reversal of 825344 is 443528.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825343) 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 3 ways as a sum of consecutive naturals, for example, 26609 + ... + 26639.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2⁸²⁵³⁴⁴ 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 825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917280).

825344 is an abundant number, since it is smaller than the sum of its proper divisors (1009216).

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

825344 is a wasteful number, since it uses less digits than its factorization.

825344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 825344 is about 908.4844522610. The cubic root of 825344 is about 93.8019066629.

It can be divided in two parts, 8 and 25344, that added together give a palindrome (25352).

The spelling of 825344 in words is "eight hundred twenty-five thousand, three hundred forty-four".