829330656 has 192 divisors, whose sum is σ = 2735824896. Its totient is φ = 213696000.

The previous prime is 829330633. The next prime is 829330673. The reversal of 829330656 is 656033928.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1115821 + ... + 1116563.

It is an arithmetic number, because the mean of its divisors is an integer number (14249088).

Almost surely, 2^829330656 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 829330656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367912448).

829330656 is an abundant number, since it is smaller than the sum of its proper divisors (1906494240).

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

829330656 is a wasteful number, since it uses less digits than its factorization.

829330656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 829330656 is about 28798.1016040988. The cubic root of 829330656 is about 939.5269447120.

The spelling of 829330656 in words is "eight hundred twenty-nine million, three hundred thirty thousand, six hundred fifty-six".