829673540 has 24 divisors (see below), whose sum is σ = 1784811672. Its totient is φ = 323774720.

The previous prime is 829673539. The next prime is 829673569. The reversal of 829673540 is 45376928.

It can be written as a sum of positive squares in 4 ways, for example, as 44328964 + 785344576 = 6658^2 + 28024^2 .

It is a super-3 number, since 3×829673540³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 829673491 and 829673500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505079 + ... + 506718.

It is an arithmetic number, because the mean of its divisors is an integer number (74367153).

Almost surely, 2^829673540 is an apocalyptic number.

It is an amenable number.

829673540 is an abundant number, since it is smaller than the sum of its proper divisors (955138132).

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

829673540 is a wasteful number, since it uses less digits than its factorization.

829673540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011847 (or 1011845 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 829673540 is about 28804.0542285283. The cubic root of 829673540 is about 939.6564083012.

The spelling of 829673540 in words is "eight hundred twenty-nine million, six hundred seventy-three thousand, five hundred forty".