829949848 has 192 divisors, whose sum is σ = 2083354560. Its totient is φ = 306561024.

The previous prime is 829949833. The next prime is 829949863. The reversal of 829949848 is 848949928.

It is an interprime number because it is at equal distance from previous prime (829949833) and next prime (829949863).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8556136 + ... + 8556232.

It is an arithmetic number, because the mean of its divisors is an integer number (10850805).

Almost surely, 2^829949848 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 829949848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041677280).

829949848 is an abundant number, since it is smaller than the sum of its proper divisors (1253404712).

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

829949848 is a wasteful number, since it uses less digits than its factorization.

829949848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 61.

The square root of 829949848 is about 28808.8501679605. The cubic root of 829949848 is about 939.7607086689.

The spelling of 829949848 in words is "eight hundred twenty-nine million, nine hundred forty-nine thousand, eight hundred forty-eight".