829047660 has 72 divisors (see below), whose sum is σ = 2700336240. Its totient is φ = 189495936.

The previous prime is 829047643. The next prime is 829047707. The reversal of 829047660 is 66740928.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138055 + ... + 143934.

It is an arithmetic number, because the mean of its divisors is an integer number (37504670).

Almost surely, 2^829047660 is an apocalyptic number.

It is an amenable number.

829047660 is an abundant number, since it is smaller than the sum of its proper divisors (1871288580).

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

829047660 is a wasteful number, since it uses less digits than its factorization.

829047660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282015 (or 282006 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 829047660 is about 28793.1877359906. The cubic root of 829047660 is about 939.4200663060.

The spelling of 829047660 in words is "eight hundred twenty-nine million, forty-seven thousand, six hundred sixty".