829265160 has 64 divisors (see below), whose sum is σ = 2489760000. Its totient is φ = 220962816.

The previous prime is 829265137. The next prime is 829265183. The reversal of 829265160 is 61562928.

It is an interprime number because it is at equal distance from previous prime (829265137) and next prime (829265183).

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 15 ways as a sum of consecutive naturals, for example, 238152 + ... + 241608.

It is an arithmetic number, because the mean of its divisors is an integer number (38902500).

Almost surely, 2^829265160 is an apocalyptic number.

It is an amenable number.

829265160 is an abundant number, since it is smaller than the sum of its proper divisors (1660494840).

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

829265160 is a wasteful number, since it uses less digits than its factorization.

829265160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 829265160 is about 28796.9644233555. The cubic root of 829265160 is about 939.5022111608.

The spelling of 829265160 in words is "eight hundred twenty-nine million, two hundred sixty-five thousand, one hundred sixty".