2916768 has 48 divisors (see below), whose sum is σ = 7995456. Its totient is φ = 929280.

The previous prime is 2916763. The next prime is 2916769. The reversal of 2916768 is 8676192.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2916763) 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 7 ways as a sum of consecutive naturals, for example, 1548 + ... + 2868.

It is an arithmetic number, because the mean of its divisors is an integer number (166572).

2^2916768 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 2916768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997728).

2916768 is an abundant number, since it is smaller than the sum of its proper divisors (5078688).

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

2916768 is a wasteful number, since it uses less digits than its factorization.

2916768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1349 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 2916768 is about 1707.8547947645. The cubic root of 2916768 is about 142.8786360042.

The spelling of 2916768 in words is "two million, nine hundred sixteen thousand, seven hundred sixty-eight".