829260048 has 80 divisors (see below), whose sum is σ = 2193609600. Its totient is φ = 269847552.

The previous prime is 829260037. The next prime is 829260053. The reversal of 829260048 is 840062928.

It is a junction number, because it is equal to n+sod(n) for n = 829259988 and 829260015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592053 + ... + 593451.

It is an arithmetic number, because the mean of its divisors is an integer number (27420120).

Almost surely, 2^829260048 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 829260048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096804800).

829260048 is an abundant number, since it is smaller than the sum of its proper divisors (1364349552).

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

829260048 is a wasteful number, since it uses less digits than its factorization.

829260048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 829260048 is about 28796.8756638633. The cubic root of 829260048 is about 939.5002806383.

The spelling of 829260048 in words is "eight hundred twenty-nine million, two hundred sixty thousand, forty-eight".