825360 has 80 divisors (see below), whose sum is σ = 2708160. Its totient is φ = 207360.

The previous prime is 825353. The next prime is 825361. The reversal of 825360 is 63528.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 825360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4470 + ... + 4650.

It is an arithmetic number, because the mean of its divisors is an integer number (33852).

2⁸²⁵³⁶⁰ is an apocalyptic number.

825360 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 825360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354080).

825360 is an abundant number, since it is smaller than the sum of its proper divisors (1882800).

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

825360 is a wasteful number, since it uses less digits than its factorization.

825360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 825360 is about 908.4932580928. The cubic root of 825360 is about 93.8025128024.

Adding to 825360 its reverse (63528), we get a palindrome (888888).

The spelling of 825360 in words is "eight hundred twenty-five thousand, three hundred sixty".