1966682016 has 144 divisors (see below), whose sum is σ = 6186182184. Its totient is φ = 588736512.

The previous prime is 1966681993. The next prime is 1966682017. The reversal of 1966682016 is 6102866691.

1966682016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1966035600 + 646416 = 44340^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1966682017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131430 + ... + 145626.

Almost surely, 2^1966682016 is an apocalyptic number.

1966682016 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 1966682016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093091092).

1966682016 is an abundant number, since it is smaller than the sum of its proper divisors (4219500168).

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

1966682016 is a wasteful number, since it uses less digits than its factorization.

1966682016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14263 (or 14252 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1966682016 is about 44347.2887108107. The cubic root of 1966682016 is about 1252.8854974118.

The spelling of 1966682016 in words is "one billion, nine hundred sixty-six million, six hundred eighty-two thousand, sixteen".