1966356 has 108 divisors (see below), whose sum is σ = 6257888. Its totient is φ = 528768.

The previous prime is 1966343. The next prime is 1966381. The reversal of 1966356 is 6536691.

1966356 is a `hidden beast` number, since 19 + 6 + 635 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 1 + 9² + 6² + 6⁷ + 3⁸ + 5³ + 6⁸ .

Its product of digits (29160) is a multiple of the sum of its prime factors (60).

It is a self number, because there is not a number n which added to its sum of digits gives 1966356.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115660 + ... + 115676.

2^1966356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128944).

1966356 is an abundant number, since it is smaller than the sum of its proper divisors (4291532).

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

1966356 is a wasteful number, since it uses less digits than its factorization.

1966356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 1966356 is about 1402.2681626565. The cubic root of 1966356 is about 125.2816263496.

The spelling of 1966356 in words is "one million, nine hundred sixty-six thousand, three hundred fifty-six".