2893968 has 200 divisors, whose sum is σ = 10802880. Its totient is φ = 725760.

The previous prime is 2893967. The next prime is 2893987. The reversal of 2893968 is 8693982.

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

It is not an unprimeable number, because it can be changed into a prime (2893967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99778 + ... + 99806.

2^2893968 is an apocalyptic number.

2893968 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 2893968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401440).

2893968 is an abundant number, since it is smaller than the sum of its proper divisors (7908912).

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

2893968 is a wasteful number, since it uses less digits than its factorization.

2893968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 52 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 2893968 is about 1701.1666585023. The cubic root of 2893968 is about 142.5053737586.

The spelling of 2893968 in words is "two million, eight hundred ninety-three thousand, nine hundred sixty-eight".