829520 has 20 divisors (see below), whose sum is σ = 1928820. Its totient is φ = 331776.

The previous prime is 829519. The next prime is 829537. The reversal of 829520 is 25928.

It can be written as a sum of positive squares in 2 ways, for example, as 150544 + 678976 = 388^2 + 824^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 829520.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5105 + ... + 5264.

It is an arithmetic number, because the mean of its divisors is an integer number (96441).

2⁸²⁹⁵²⁰ is an apocalyptic number.

829520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

829520 is an abundant number, since it is smaller than the sum of its proper divisors (1099300).

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

829520 is a wasteful number, since it uses less digits than its factorization.

829520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10382 (or 10376 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 829520 is about 910.7798855926. The cubic root of 829520 is about 93.9598440221.

The spelling of 829520 in words is "eight hundred twenty-nine thousand, five hundred twenty".