1983968 has 48 divisors (see below), whose sum is σ = 4735584. Its totient is φ = 798720.

The previous prime is 1983967. The next prime is 1983979. The reversal of 1983968 is 8693891.

It is a super-2 number, since 2×1983968² = 7872258050048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3548 + ... + 4068.

It is an arithmetic number, because the mean of its divisors is an integer number (98658).

2^1983968 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 1983968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367792).

1983968 is an abundant number, since it is smaller than the sum of its proper divisors (2751616).

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

1983968 is a wasteful number, since it uses less digits than its factorization.

1983968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 547 counting only the distinct ones).

The product of its digits is 93312, while the sum is 44.

The square root of 1983968 is about 1408.5339896502. The cubic root of 1983968 is about 125.6545505263.

The spelling of 1983968 in words is "one million, nine hundred eighty-three thousand, nine hundred sixty-eight".