2985768 has 64 divisors (see below), whose sum is σ = 8668800. Its totient is φ = 950400.

The previous prime is 2985751. The next prime is 2985781. The reversal of 2985768 is 8675892.

2985768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4668 + ... + 5268.

It is an arithmetic number, because the mean of its divisors is an integer number (135450).

2^2985768 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 2985768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334400).

2985768 is an abundant number, since it is smaller than the sum of its proper divisors (5683032).

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

2985768 is a wasteful number, since it uses less digits than its factorization.

2985768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 2985768 is about 1727.9374988697. The cubic root of 2985768 is about 143.9965276940.

The spelling of 2985768 in words is "two million, nine hundred eighty-five thousand, seven hundred sixty-eight".