820959568 has 40 divisors (see below), whose sum is σ = 1868692896. Its totient is φ = 344457600.

The previous prime is 820959553. The next prime is 820959593. The reversal of 820959568 is 865959028.

820959568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×820959568² = 1347949224581493248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177118 + ... + 181693.

Almost surely, 2^820959568 is an apocalyptic number.

820959568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

820959568 is an abundant number, since it is smaller than the sum of its proper divisors (1047733328).

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

820959568 is a wasteful number, since it uses less digits than its factorization.

820959568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358843 (or 358837 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 52.

The square root of 820959568 is about 28652.3920118373. The cubic root of 820959568 is about 936.3551200772.

The spelling of 820959568 in words is "eight hundred twenty million, nine hundred fifty-nine thousand, five hundred sixty-eight".