820065648 has 80 divisors (see below), whose sum is σ = 2159076096. Its totient is φ = 268162560.

The previous prime is 820065629. The next prime is 820065731. The reversal of 820065648 is 846560028.

It is a super-3 number, since 3×820065648³ (a number of 28 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 794893 + ... + 795923.

Almost surely, 2^820065648 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 820065648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079538048).

820065648 is an abundant number, since it is smaller than the sum of its proper divisors (1339010448).

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

820065648 is a wasteful number, since it uses less digits than its factorization.

820065648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 820065648 is about 28636.7883674130. The cubic root of 820065648 is about 936.0151396485.

The spelling of 820065648 in words is "eight hundred twenty million, sixty-five thousand, six hundred forty-eight".