825940 has 24 divisors (see below), whose sum is σ = 1765512. Its totient is φ = 324480.

The previous prime is 825919. The next prime is 825947. The reversal of 825940 is 49528.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 110224 + 715716 = 332^2 + 846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 825899 and 825908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825947) by changing a digit.

825940 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 7 ways as a sum of consecutive naturals, for example, 882 + ... + 1558.

It is an arithmetic number, because the mean of its divisors is an integer number (73563).

2⁸²⁵⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

825940 is an abundant number, since it is smaller than the sum of its proper divisors (939572).

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

825940 is a wasteful number, since it uses less digits than its factorization.

825940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 825940 is about 908.8124118871. The cubic root of 825940 is about 93.8244800726.

The spelling of 825940 in words is "eight hundred twenty-five thousand, nine hundred forty".