825984 has 64 divisors (see below), whose sum is σ = 2448000. Its totient is φ = 274176.

The previous prime is 825983. The next prime is 825991. The reversal of 825984 is 489528.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3337 + ... + 3575.

It is an arithmetic number, because the mean of its divisors is an integer number (38250).

2⁸²⁵⁹⁸⁴ 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 825984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224000).

825984 is an abundant number, since it is smaller than the sum of its proper divisors (1622016).

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

825984 is a wasteful number, since it uses less digits than its factorization.

825984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 244 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 825984 is about 908.8366189806. The cubic root of 825984 is about 93.8261461354.

The spelling of 825984 in words is "eight hundred twenty-five thousand, nine hundred eighty-four".