2868768 has 72 divisors (see below), whose sum is σ = 9330048. Its totient is φ = 819072.

The previous prime is 2868713. The next prime is 2868773. The reversal of 2868768 is 8678682.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1305 + ... + 2727.

It is an arithmetic number, because the mean of its divisors is an integer number (129584).

2^2868768 is an apocalyptic number.

2868768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2868768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665024).

2868768 is an abundant number, since it is smaller than the sum of its proper divisors (6461280).

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

2868768 is a wasteful number, since it uses less digits than its factorization.

2868768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1435 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2868768 is about 1693.7437822764. The cubic root of 2868768 is about 142.0905327595.

The spelling of 2868768 in words is "two million, eight hundred sixty-eight thousand, seven hundred sixty-eight".