829046064 has 80 divisors (see below), whose sum is σ = 2670186240. Its totient is φ = 215335680.

The previous prime is 829046033. The next prime is 829046069. The reversal of 829046064 is 460640928.

It is not an unprimeable number, because it can be changed into a prime (829046069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108459 + ... + 115850.

It is an arithmetic number, because the mean of its divisors is an integer number (33377328).

Almost surely, 2^829046064 is an apocalyptic number.

829046064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

829046064 is an abundant number, since it is smaller than the sum of its proper divisors (1841140176).

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

829046064 is a wasteful number, since it uses less digits than its factorization.

829046064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224338 (or 224332 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 829046064 is about 28793.1600210883. The cubic root of 829046064 is about 939.4194634796.

The spelling of 829046064 in words is "eight hundred twenty-nine million, forty-six thousand, sixty-four".