829925604 has 36 divisors (see below), whose sum is σ = 2098833100. Its totient is φ = 276514560.

The previous prime is 829925597. The next prime is 829925609. The reversal of 829925604 is 406529928.

829925604 is a `hidden beast` number, since 82 + 9 + 9 + 2 + 560 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 139287204 + 690638400 = 11802^2 + 26280^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 829925604.

It is not an unprimeable number, because it can be changed into a prime (829925609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105984 + ... + 113544.

Almost surely, 2^829925604 is an apocalyptic number.

It is an amenable number.

829925604 is an abundant number, since it is smaller than the sum of its proper divisors (1268907496).

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

829925604 is a wasteful number, since it uses less digits than its factorization.

829925604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10620 (or 10615 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 829925604 is about 28808.4293914125. The cubic root of 829925604 is about 939.7515580033.

The spelling of 829925604 in words is "eight hundred twenty-nine million, nine hundred twenty-five thousand, six hundred four".