829644940 has 96 divisors (see below), whose sum is σ = 1867235328. Its totient is φ = 309120000.

The previous prime is 829644859. The next prime is 829644941. The reversal of 829644940 is 49446928.

It is not an unprimeable number, because it can be changed into a prime (829644941) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2068740 + ... + 2069140.

It is an arithmetic number, because the mean of its divisors is an integer number (19450368).

Almost surely, 2^829644940 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 829644940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933617664).

829644940 is an abundant number, since it is smaller than the sum of its proper divisors (1037590388).

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

829644940 is a wasteful number, since it uses less digits than its factorization.

829644940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 829644940 is about 28803.5577663593. The cubic root of 829644940 is about 939.6456110897.

It can be divided in two parts, 829644 and 940, that added together give a cube (830584 = 94³).

The spelling of 829644940 in words is "eight hundred twenty-nine million, six hundred forty-four thousand, nine hundred forty".