820646516 has 12 divisors (see below), whose sum is σ = 1436665860. Its totient is φ = 410170560.

The previous prime is 820646507. The next prime is 820646531. The reversal of 820646516 is 615646028.

It can be written as a sum of positive squares in 2 ways, for example, as 270931600 + 549714916 = 16460^2 + 23446^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 820646516.

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 3 ways as a sum of consecutive naturals, for example, 25625 + ... + 47936.

It is an arithmetic number, because the mean of its divisors is an integer number (119722155).

Almost surely, 2^820646516 is an apocalyptic number.

It is an amenable number.

820646516 is a deficient number, since it is larger than the sum of its proper divisors (616019344).

820646516 is a wasteful number, since it uses less digits than its factorization.

820646516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76354 (or 76352 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 820646516 is about 28646.9285613659. The cubic root of 820646516 is about 936.2360865619.

The spelling of 820646516 in words is "eight hundred twenty million, six hundred forty-six thousand, five hundred sixteen".