820665024 has 112 divisors (see below), whose sum is σ = 2385242880. Its totient is φ = 247864320.

The previous prime is 820665017. The next prime is 820665037. The reversal of 820665024 is 420566028.

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, 79014 + ... + 88794.

Almost surely, 2^820665024 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 820665024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192621440).

820665024 is an abundant number, since it is smaller than the sum of its proper divisors (1564577856).

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

820665024 is a wasteful number, since it uses less digits than its factorization.

820665024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9838 (or 9828 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 820665024 is about 28647.2515959210. The cubic root of 820665024 is about 936.2431248043.

The spelling of 820665024 in words is "eight hundred twenty million, six hundred sixty-five thousand, twenty-four".