2863968 has 24 divisors (see below), whose sum is σ = 7518168. Its totient is φ = 954624.

The previous prime is 2863967. The next prime is 2863969. The reversal of 2863968 is 8693682.

2863968 is nontrivially palindromic in base 15.

2863968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2863967) and next prime (2863969).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×2863968³ = 70473483339546525696, which contains 333 as substring.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2863967) 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 3 ways as a sum of consecutive naturals, for example, 14821 + ... + 15012.

It is an arithmetic number, because the mean of its divisors is an integer number (313257).

2^2863968 is an apocalyptic number.

It is an amenable number.

2863968 is an abundant number, since it is smaller than the sum of its proper divisors (4654200).

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

2863968 is a wasteful number, since it uses less digits than its factorization.

2863968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29846 (or 29838 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 2863968 is about 1692.3262096889. The cubic root of 2863968 is about 142.0112402661.

The spelling of 2863968 in words is "two million, eight hundred sixty-three thousand, nine hundred sixty-eight".