827664656 has 120 divisors (see below), whose sum is σ = 2015049600. Its totient is φ = 322403328.

The previous prime is 827664647. The next prime is 827664659. The reversal of 827664656 is 656466728.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (827664659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1381445 + ... + 1382043.

It is an arithmetic number, because the mean of its divisors is an integer number (16792080).

Almost surely, 2^827664656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827664656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007524800).

827664656 is an abundant number, since it is smaller than the sum of its proper divisors (1187384944).

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

827664656 is a wasteful number, since it uses less digits than its factorization.

827664656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 694 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 50.

The square root of 827664656 is about 28769.1615449599. The cubic root of 827664656 is about 938.8974004050.

The spelling of 827664656 in words is "eight hundred twenty-seven million, six hundred sixty-four thousand, six hundred fifty-six".