829864 has 48 divisors (see below), whose sum is σ = 1898100. Its totient is φ = 338688.

The previous prime is 829849. The next prime is 829867. The reversal of 829864 is 468928.

829864 = T₁₅₉ + T₁₆₀ + ... + T₂₀₇.

It can be written as a sum of positive squares in 2 ways, for example, as 828100 + 1764 = 910^2 + 42^2 .

It is not an unprimeable number, because it can be changed into a prime (829867) by changing a digit.

829864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11332 + ... + 11404.

2⁸²⁹⁸⁶⁴ 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 829864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949050).

829864 is an abundant number, since it is smaller than the sum of its proper divisors (1068236).

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

829864 is a wasteful number, since it uses less digits than its factorization.

829864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 829864 is about 910.9687151599. The cubic root of 829864 is about 93.9728305362.

The spelling of 829864 in words is "eight hundred twenty-nine thousand, eight hundred sixty-four".