2968848 has 60 divisors (see below), whose sum is σ = 8487180. Its totient is φ = 968448.

The previous prime is 2968841. The next prime is 2968859. The reversal of 2968848 is 8488692.

It is a happy number.

2968848 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 1557504 = 1188^2 + 1248^2 .

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2968841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7438 + ... + 7826.

It is an arithmetic number, because the mean of its divisors is an integer number (141453).

2^2968848 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 2968848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243590).

2968848 is an abundant number, since it is smaller than the sum of its proper divisors (5518332).

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

2968848 is a wasteful number, since it uses less digits than its factorization.

2968848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 447 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2968848 is about 1723.0345324456. The cubic root of 2968848 is about 143.7240084072.

The spelling of 2968848 in words is "two million, nine hundred sixty-eight thousand, eight hundred forty-eight".