2991968 has 72 divisors (see below), whose sum is σ = 7296912. Its totient is φ = 1181952.

The previous prime is 2991929. The next prime is 2991971. The reversal of 2991968 is 8691992.

2991968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 80846 + ... + 80882.

It is an arithmetic number, because the mean of its divisors is an integer number (101346).

2^2991968 is an apocalyptic number.

2991968 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 2991968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648456).

2991968 is an abundant number, since it is smaller than the sum of its proper divisors (4304944).

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

2991968 is a wasteful number, since it uses less digits than its factorization.

2991968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its digits is 69984, while the sum is 44.

The square root of 2991968 is about 1729.7306148646. The cubic root of 2991968 is about 144.0961292289.

The spelling of 2991968 in words is "two million, nine hundred ninety-one thousand, nine hundred sixty-eight".