825180 has 48 divisors (see below), whose sum is σ = 2449440. Its totient is φ = 206848.

The previous prime is 825161. The next prime is 825191. The reversal of 825180 is 81528.

It is a self number, because there is not a number n which added to its sum of digits gives 825180.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616 + ... + 1424.

It is an arithmetic number, because the mean of its divisors is an integer number (51030).

2⁸²⁵¹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224720).

825180 is an abundant number, since it is smaller than the sum of its proper divisors (1624260).

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

825180 is a wasteful number, since it uses less digits than its factorization.

825180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 825180 is about 908.3941875640. The cubic root of 825180 is about 93.7956932813.

The spelling of 825180 in words is "eight hundred twenty-five thousand, one hundred eighty".