1966682656 has 48 divisors (see below), whose sum is σ = 4002905088. Its totient is φ = 951159360.

The previous prime is 1966682611. The next prime is 1966682671. The reversal of 1966682656 is 6562866691.

It is a super-2 number, since 2×1966682656² = 7735681338822428672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1966682597 and 1966682606.

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 7 ways as a sum of consecutive naturals, for example, 952281 + ... + 954343.

It is an arithmetic number, because the mean of its divisors is an integer number (83393856).

Almost surely, 2^1966682656 is an apocalyptic number.

1966682656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966682656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001452544).

1966682656 is an abundant number, since it is smaller than the sum of its proper divisors (2036222432).

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

1966682656 is an frugal number, since it uses more digits than its factorization.

1966682656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2096 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 55.

The square root of 1966682656 is about 44347.2959265838. The cubic root of 1966682656 is about 1252.8856333169.

The spelling of 1966682656 in words is "one billion, nine hundred sixty-six million, six hundred eighty-two thousand, six hundred fifty-six".