2983968 has 72 divisors (see below), whose sum is σ = 9149868. Its totient is φ = 916992.

The previous prime is 2983961. The next prime is 2983987. The reversal of 2983968 is 8693892.

It can be written as a sum of positive squares in 2 ways, for example, as 2862864 + 121104 = 1692^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2983961) 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 11 ways as a sum of consecutive naturals, for example, 3346 + ... + 4142.

2^2983968 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 2983968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574934).

2983968 is an abundant number, since it is smaller than the sum of its proper divisors (6165900).

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

2983968 is a wasteful number, since it uses less digits than its factorization.

2983968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 815 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 2983968 is about 1727.4165681734. The cubic root of 2983968 is about 143.9675852965.

The spelling of 2983968 in words is "two million, nine hundred eighty-three thousand, nine hundred sixty-eight".