829698048 has 156 divisors (see below), whose sum is σ = 2438034768. Its totient is φ = 271810560.

The previous prime is 829698047. The next prime is 829698059. The reversal of 829698048 is 840896928.

It is a junction number, because it is equal to n+sod(n) for n = 829697985 and 829698003.

It is not an unprimeable number, because it can be changed into a prime (829698047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2617186 + ... + 2617502.

It is an arithmetic number, because the mean of its divisors is an integer number (15628428).

Almost surely, 2^829698048 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 829698048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219017384).

829698048 is an abundant number, since it is smaller than the sum of its proper divisors (1608336720).

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

829698048 is a wasteful number, since it uses less digits than its factorization.

829698048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 829698048 is about 28804.4796516097. The cubic root of 829698048 is about 939.6656604835.

The spelling of 829698048 in words is "eight hundred twenty-nine million, six hundred ninety-eight thousand, forty-eight".