825160 has 48 divisors (see below), whose sum is σ = 2164860. Its totient is φ = 282240.

The previous prime is 825131. The next prime is 825161. The reversal of 825160 is 61528.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 682276 + 142884 = 826^2 + 378^2 .

It is not an unprimeable number, because it can be changed into a prime (825161) by changing a digit.

825160 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 11 ways as a sum of consecutive naturals, for example, 1750 + ... + 2170.

2⁸²⁵¹⁶⁰ 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 825160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082430).

825160 is an abundant number, since it is smaller than the sum of its proper divisors (1339700).

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

825160 is a wasteful number, since it uses less digits than its factorization.

825160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 825160 is about 908.3831790605. The cubic root of 825160 is about 93.7949354955.

Adding to 825160 its reverse (61528), we get a palindrome (886688).

The spelling of 825160 in words is "eight hundred twenty-five thousand, one hundred sixty".