1963968 has 56 divisors (see below), whose sum is σ = 5321808. Its totient is φ = 638976.

The previous prime is 1963921. The next prime is 1963981. The reversal of 1963968 is 8693691.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10080 + ... + 10272.

2^1963968 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 1963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660904).

1963968 is an abundant number, since it is smaller than the sum of its proper divisors (3357840).

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

1963968 is a wasteful number, since it uses less digits than its factorization.

1963968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 1963968 is about 1401.4164263344. The cubic root of 1963968 is about 125.2308905870.

The spelling of 1963968 in words is "one million, nine hundred sixty-three thousand, nine hundred sixty-eight".