829648 has 10 divisors (see below), whose sum is σ = 1607474. Its totient is φ = 414816.

The previous prime is 829643. The next prime is 829657. The reversal of 829648 is 846928.

829648 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in only one way, i.e., 824464 + 5184 = 908^2 + 72^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25911 + ... + 25942.

2⁸²⁹⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

829648 is a deficient number, since it is larger than the sum of its proper divisors (777826).

829648 is a wasteful number, since it uses less digits than its factorization.

829648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51861 (or 51855 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 829648 is about 910.8501523302. The cubic root of 829648 is about 93.9646766328.

It can be divided in two parts, 82 and 9648, that added together give a triangular number (9730 = T₁₃₉).

The spelling of 829648 in words is "eight hundred twenty-nine thousand, six hundred forty-eight".