825040 has 20 divisors (see below), whose sum is σ = 1918404. Its totient is φ = 329984.

The previous prime is 825029. The next prime is 825047. The reversal of 825040 is 40528.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 506944 = 564^2 + 712^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 824999 and 825017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825047) by changing a digit.

825040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5077 + ... + 5236.

2⁸²⁵⁰⁴⁰ is an apocalyptic number.

825040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825040 is an abundant number, since it is smaller than the sum of its proper divisors (1093364).

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

825040 is a wasteful number, since it uses less digits than its factorization.

825040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10326 (or 10320 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 825040 is about 908.3171252377. The cubic root of 825040 is about 93.7903885236.

Adding to 825040 its reverse (40528), we get a palindrome (865568).

The spelling of 825040 in words is "eight hundred twenty-five thousand, forty".