829695664 has 40 divisors (see below), whose sum is σ = 1879919360. Its totient is φ = 347312448.

The previous prime is 829695661. The next prime is 829695673. The reversal of 829695664 is 466596928.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (829695661) by changing a digit.

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, 81324 + ... + 90955.

It is an arithmetic number, because the mean of its divisors is an integer number (46997984).

Almost surely, 2^829695664 is an apocalyptic number.

It is an amenable number.

829695664 is an abundant number, since it is smaller than the sum of its proper divisors (1050223696).

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

829695664 is a wasteful number, since it uses less digits than its factorization.

829695664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172337 (or 172331 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 55.

The square root of 829695664 is about 28804.4382691279. The cubic root of 829695664 is about 939.6647604914.

The spelling of 829695664 in words is "eight hundred twenty-nine million, six hundred ninety-five thousand, six hundred sixty-four".