825520 has 40 divisors (see below), whose sum is σ = 2035584. Its totient is φ = 310272.

The previous prime is 825509. The next prime is 825527. The reversal of 825520 is 25528.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 825491 and 825500.

It is not an unprimeable number, because it can be changed into a prime (825527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1057 + ... + 1663.

2⁸²⁵⁵²⁰ is an apocalyptic number.

825520 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 825520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017792).

825520 is an abundant number, since it is smaller than the sum of its proper divisors (1210064).

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

825520 is a wasteful number, since it uses less digits than its factorization.

825520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 825520 is about 908.5813117162. The cubic root of 825520 is about 93.8085737666.

The spelling of 825520 in words is "eight hundred twenty-five thousand, five hundred twenty".