1966703616 has 132 divisors (see below), whose sum is σ = 6013340892. Its totient is φ = 616955904.

The previous prime is 1966703611. The next prime is 1966703647. The reversal of 1966703616 is 6163076691.

It can be written as a sum of positive squares in 2 ways, for example, as 1824998400 + 141705216 = 42720^2 + 11904^2 .

It is a super-2 number, since 2×1966703616² = 7735846226374950912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1966703611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150396 + ... + 162948.

Almost surely, 2^1966703616 is an apocalyptic number.

1966703616 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 1966703616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006670446).

1966703616 is an abundant number, since it is smaller than the sum of its proper divisors (4046637276).

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

1966703616 is a wasteful number, since it uses less digits than its factorization.

1966703616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12596 (or 12575 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1966703616 is about 44347.5322425048. The cubic root of 1966703616 is about 1252.8900841942.

The spelling of 1966703616 in words is "one billion, nine hundred sixty-six million, seven hundred three thousand, six hundred sixteen".