1968642 has 48 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 589536.

The previous prime is 1968641. The next prime is 1968679. The reversal of 1968642 is 2468691.

1968642 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 642 = 666.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1968597 and 1968606.

It is not an unprimeable number, because it can be changed into a prime (1968641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10909 + ... + 11087.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

2^1968642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

1968642 is an abundant number, since it is smaller than the sum of its proper divisors (2748798).

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

1968642 is a wasteful number, since it uses less digits than its factorization.

1968642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 244 counting only the distinct ones).

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

The square root of 1968642 is about 1403.0830338936. The cubic root of 1968642 is about 125.3301565389.

The spelling of 1968642 in words is "one million, nine hundred sixty-eight thousand, six hundred forty-two".