1966016 has 56 divisors (see below), whose sum is σ = 4480560. Its totient is φ = 847872.

The previous prime is 1966009. The next prime is 1966031. The reversal of 1966016 is 6106691.

It is a self number, because there is not a number n which added to its sum of digits gives 1966016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14075 + ... + 14213.

It is an arithmetic number, because the mean of its divisors is an integer number (80010).

2^1966016 is an apocalyptic number.

1966016 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 1966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240280).

1966016 is an abundant number, since it is smaller than the sum of its proper divisors (2514544).

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

1966016 is a wasteful number, since it uses less digits than its factorization.

1966016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 1966016 is about 1402.1469252543. The cubic root of 1966016 is about 125.2744051736.

The spelling of 1966016 in words is "one million, nine hundred sixty-six thousand, sixteen".