1966842 has 56 divisors (see below), whose sum is σ = 4721760. Its totient is φ = 612360.

The previous prime is 1966841. The next prime is 1966843. The reversal of 1966842 is 2486691.

It is an interprime number because it is at equal distance from previous prime (1966841) and next prime (1966843).

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 1966797 and 1966806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966841) 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 27 ways as a sum of consecutive naturals, for example, 27667 + ... + 27737.

2^1966842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360880).

1966842 is an abundant number, since it is smaller than the sum of its proper divisors (2754918).

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

1966842 is an equidigital number, since it uses as much as digits as its factorization.

1966842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1966842 is about 1402.4414426278. The cubic root of 1966842 is about 125.2919469384.

The spelling of 1966842 in words is "one million, nine hundred sixty-six thousand, eight hundred forty-two".