827729046 has 24 divisors (see below), whose sum is σ = 1795799304. Its totient is φ = 275542560.

The previous prime is 827729039. The next prime is 827729093. The reversal of 827729046 is 640927728.

It is a junction number, because it is equal to n+sod(n) for n = 827728992 and 827729010.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 16516 + ... + 43911.

It is an arithmetic number, because the mean of its divisors is an integer number (74824971).

Almost surely, 2^827729046 is an apocalyptic number.

827729046 is an abundant number, since it is smaller than the sum of its proper divisors (968070258).

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

827729046 is a wasteful number, since it uses less digits than its factorization.

827729046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61196 (or 61193 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 827729046 is about 28770.2806034283. The cubic root of 827729046 is about 938.9217476393.

The spelling of 827729046 in words is "eight hundred twenty-seven million, seven hundred twenty-nine thousand, forty-six".