2947968 has 64 divisors (see below), whose sum is σ = 8710800. Its totient is φ = 981504.

The previous prime is 2947949. The next prime is 2947999. The reversal of 2947968 is 8697492.

It is a happy number.

2947968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 12.

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 7 ways as a sum of consecutive naturals, for example, 3030 + ... + 3882.

2^2947968 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 2947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355400).

2947968 is an abundant number, since it is smaller than the sum of its proper divisors (5762832).

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

2947968 is an equidigital number, since it uses as much as digits as its factorization.

2947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 858 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2947968 is about 1716.9647637619. The cubic root of 2947968 is about 143.3862769382.

The spelling of 2947968 in words is "two million, nine hundred forty-seven thousand, nine hundred sixty-eight".