2896768 has 64 divisors (see below), whose sum is σ = 6829920. Its totient is φ = 1198080.

The previous prime is 2896763. The next prime is 2896769. The reversal of 2896768 is 8676982.

2896768 is digitally balanced in base 5, 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2896763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47458 + ... + 47518.

2^2896768 is an apocalyptic number.

2896768 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 2896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414960).

2896768 is an abundant number, since it is smaller than the sum of its proper divisors (3933152).

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

2896768 is an equidigital number, since it uses as much as digits as its factorization.

2896768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 2896768 is about 1701.9894241740. The cubic root of 2896768 is about 142.5513183382.

The spelling of 2896768 in words is "two million, eight hundred ninety-six thousand, seven hundred sixty-eight".