825240 has 96 divisors (see below), whose sum is σ = 2787120. Its totient is φ = 194304.

The previous prime is 825229. The next prime is 825241. The reversal of 825240 is 42528.

825240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825241) by changing a digit.

825240 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 23 ways as a sum of consecutive naturals, for example, 35869 + ... + 35891.

2⁸²⁵²⁴⁰ 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 825240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393560).

825240 is an abundant number, since it is smaller than the sum of its proper divisors (1961880).

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

825240 is a wasteful number, since it uses less digits than its factorization.

825240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 825240 is about 908.4272122740. The cubic root of 825240 is about 93.7979665652.

Adding to 825240 its reverse (42528), we get a palindrome (867768).

The spelling of 825240 in words is "eight hundred twenty-five thousand, two hundred forty".