829248 has 56 divisors (see below), whose sum is σ = 2511552. Its totient is φ = 236544.

The previous prime is 829237. The next prime is 829249. The reversal of 829248 is 842928.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829248.

It is not an unprimeable number, because it can be changed into a prime (829249) by changing a digit.

829248 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 7 ways as a sum of consecutive naturals, for example, 1036 + ... + 1652.

2⁸²⁹²⁴⁸ 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 829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255776).

829248 is an abundant number, since it is smaller than the sum of its proper divisors (1682304).

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

829248 is a wasteful number, since it uses less digits than its factorization.

829248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 829248 is about 910.6305507724. The cubic root of 829248 is about 93.9495730737.

The spelling of 829248 in words is "eight hundred twenty-nine thousand, two hundred forty-eight".