825660 has 96 divisors (see below), whose sum is σ = 2822400. Its totient is φ = 198720.

The previous prime is 825647. The next prime is 825661. The reversal of 825660 is 66528.

825660 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 (27).

It is an Ulam number.

825660 is a Rhonda number in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825661) by changing a digit.

825660 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 31 ways as a sum of consecutive naturals, for example, 5871 + ... + 6009.

It is an arithmetic number, because the mean of its divisors is an integer number (29400).

2⁸²⁵⁶⁶⁰ 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 825660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411200).

825660 is an abundant number, since it is smaller than the sum of its proper divisors (1996740).

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

825660 is a wasteful number, since it uses less digits than its factorization.

825660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 825660 is about 908.6583516372. The cubic root of 825660 is about 93.8138764679.

It can be divided in two parts, 825 and 660, that added together give a triangular number (1485 = T₅₄).

The spelling of 825660 in words is "eight hundred twenty-five thousand, six hundred sixty".