2968896 has 84 divisors (see below), whose sum is σ = 9172448. Its totient is φ = 830208.

The previous prime is 2968891. The next prime is 2968907. The reversal of 2968896 is 6988692.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968891) 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, 63145 + ... + 63191.

2^2968896 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 2968896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586224).

2968896 is an abundant number, since it is smaller than the sum of its proper divisors (6203552).

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

2968896 is an equidigital number, since it uses as much as digits as its factorization.

2968896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 59 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 2968896 is about 1723.0484613034. The cubic root of 2968896 is about 143.7247829742.

The spelling of 2968896 in words is "two million, nine hundred sixty-eight thousand, eight hundred ninety-six".