1966116720 has 80 divisors (see below), whose sum is σ = 6291597312. Its totient is φ = 507383040.

The previous prime is 1966116709. The next prime is 1966116721. The reversal of 1966116720 is 276116691.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1966116720² = 7731229913327116800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966116721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124692 + ... + 139571.

Almost surely, 2^1966116720 is an apocalyptic number.

1966116720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1966116720 is an abundant number, since it is smaller than the sum of its proper divisors (4325480592).

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

1966116720 is a wasteful number, since it uses less digits than its factorization.

1966116720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264310 (or 264304 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 1966116720 is about 44340.9147402261. The cubic root of 1966116720 is about 1252.7654442759.

The spelling of 1966116720 in words is "one billion, nine hundred sixty-six million, one hundred sixteen thousand, seven hundred twenty".