829609984 has 96 divisors (see below), whose sum is σ = 1936116000. Its totient is φ = 355246080.

The previous prime is 829609981. The next prime is 829609987. The reversal of 829609984 is 489906928.

829609984 = 232³ + 233³ + ... + 280³.

It is an interprime number because it is at equal distance from previous prime (829609981) and next prime (829609987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829609981) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 701874 + ... + 703054.

It is an arithmetic number, because the mean of its divisors is an integer number (20167875).

Almost surely, 2^829609984 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 829609984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968058000).

829609984 is an abundant number, since it is smaller than the sum of its proper divisors (1106506016).

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

829609984 is an equidigital number, since it uses as much as digits as its factorization.

829609984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 55.

The square root of 829609984 is about 28802.9509599277. The cubic root of 829609984 is about 939.6324139930.

The spelling of 829609984 in words is "eight hundred twenty-nine million, six hundred nine thousand, nine hundred eighty-four".