829596672 has 66 divisors (see below), whose sum is σ = 2395468998. Its totient is φ = 276529152.

The previous prime is 829596661. The next prime is 829596689. The reversal of 829596672 is 276695928.

It can be written as a sum of positive squares in only one way, i.e., 807469056 + 22127616 = 28416^2 + 4704^2 .

It is a super-6 number, since 6×829596672⁶ (a number of 55 digits) contains 666666 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35793 + ... + 54224.

Almost surely, 2^829596672 is an apocalyptic number.

It is an amenable number.

829596672 is an abundant number, since it is smaller than the sum of its proper divisors (1565872326).

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

829596672 is a wasteful number, since it uses less digits than its factorization.

829596672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90043 (or 90022 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 829596672 is about 28802.7198715677. The cubic root of 829596672 is about 939.6273881561.

The spelling of 829596672 in words is "eight hundred twenty-nine million, five hundred ninety-six thousand, six hundred seventy-two".