829056 has 64 divisors (see below), whose sum is σ = 2350080. Its totient is φ = 258048.

The previous prime is 829013. The next prime is 829057. The reversal of 829056 is 650928.

829056 = 9² + 10² + ... + 135².

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×829056² = 1374667702272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (829057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6465 + ... + 6591.

It is an arithmetic number, because the mean of its divisors is an integer number (36720).

2⁸²⁹⁰⁵⁶ 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 829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175040).

829056 is an abundant number, since it is smaller than the sum of its proper divisors (1521024).

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

829056 is a wasteful number, since it uses less digits than its factorization.

829056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 829056 is about 910.5251232119. The cubic root of 829056 is about 93.9423216401.

The spelling of 829056 in words is "eight hundred twenty-nine thousand, fifty-six".