825920 has 56 divisors (see below), whose sum is σ = 2057400. Its totient is φ = 315392.

The previous prime is 825919. The next prime is 825947. The reversal of 825920 is 29528.

It can be written as a sum of positive squares in 4 ways, for example, as 23104 + 802816 = 152^2 + 896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 825920.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825920.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9236 + ... + 9324.

2⁸²⁵⁹²⁰ is an apocalyptic number.

825920 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 825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028700).

825920 is an abundant number, since it is smaller than the sum of its proper divisors (1231480).

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

825920 is a wasteful number, since it uses less digits than its factorization.

825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 825920 is about 908.8014084496. The cubic root of 825920 is about 93.8237227517.

The spelling of 825920 in words is "eight hundred twenty-five thousand, nine hundred twenty".