825580 has 24 divisors (see below), whose sum is σ = 1981728. Its totient is φ = 283008.

The previous prime is 825577. The next prime is 825593. The reversal of 825580 is 85528.

825580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2809 + ... + 3088.

It is an arithmetic number, because the mean of its divisors is an integer number (82572).

2⁸²⁵⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

825580 is an abundant number, since it is smaller than the sum of its proper divisors (1156148).

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

825580 is a wasteful number, since it uses less digits than its factorization.

825580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5913 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 825580 is about 908.6143296251. The cubic root of 825580 is about 93.8108464263.

The spelling of 825580 in words is "eight hundred twenty-five thousand, five hundred eighty".