825440 has 96 divisors (see below), whose sum is σ = 2467584. Its totient is φ = 253440.

The previous prime is 825439. The next prime is 825443. The reversal of 825440 is 44528.

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 (825443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12287 + ... + 12353.

It is an arithmetic number, because the mean of its divisors is an integer number (25704).

2⁸²⁵⁴⁴⁰ is an apocalyptic number.

825440 is a gapful number since it is divisible by the number (80) 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 825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233792).

825440 is an abundant number, since it is smaller than the sum of its proper divisors (1642144).

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

825440 is a wasteful number, since it uses less digits than its factorization.

825440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 825440 is about 908.5372859712. The cubic root of 825440 is about 93.8055433824.

Adding to 825440 its reverse (44528), we get a palindrome (869968).

The spelling of 825440 in words is "eight hundred twenty-five thousand, four hundred forty".