2905968 has 40 divisors (see below), whose sum is σ = 8086288. Its totient is φ = 893952.

The previous prime is 2905961. The next prime is 2905999. The reversal of 2905968 is 8695092.

It is a happy number.

2905968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2905961) 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 7 ways as a sum of consecutive naturals, for example, 1705 + ... + 2952.

2^2905968 is an apocalyptic number.

It is an amenable number.

2905968 is an abundant number, since it is smaller than the sum of its proper divisors (5180320).

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

2905968 is a wasteful number, since it uses less digits than its factorization.

2905968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4681 (or 4675 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 2905968 is about 1704.6900011439. The cubic root of 2905968 is about 142.7020709680.

The spelling of 2905968 in words is "two million, nine hundred five thousand, nine hundred sixty-eight".