829440060 has 96 divisors (see below), whose sum is σ = 2455622400. Its totient is φ = 208604160.

The previous prime is 829440043. The next prime is 829440083. The reversal of 829440060 is 60044928.

829440060 = 9596² + 9597² + ... + 9604².

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273231 + ... + 276249.

It is an arithmetic number, because the mean of its divisors is an integer number (25579400).

Almost surely, 2^829440060 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 829440060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227811200).

829440060 is an abundant number, since it is smaller than the sum of its proper divisors (1626182340).

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

829440060 is a wasteful number, since it uses less digits than its factorization.

829440060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 829440060 is about 28800.0010416666. The cubic root of 829440060 is about 939.5682565360.

Adding to 829440060 its reverse (60044928), we get a palindrome (889484988).

The spelling of 829440060 in words is "eight hundred twenty-nine million, four hundred forty thousand, sixty".