2608768 has 32 divisors (see below), whose sum is σ = 5278500. Its totient is φ = 1284096.

The previous prime is 2608763. The next prime is 2608777. The reversal of 2608768 is 8678062.

It can be written as a sum of positive squares in 2 ways, for example, as 2585664 + 23104 = 1608^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2608763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11278 + ... + 11506.

2^2608768 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 2608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639250).

2608768 is an abundant number, since it is smaller than the sum of its proper divisors (2669732).

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

2608768 is an equidigital number, since it uses as much as digits as its factorization.

2608768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 2608768 is about 1615.1681027063. The cubic root of 2608768 is about 137.6612851215.

The spelling of 2608768 in words is "two million, six hundred eight thousand, seven hundred sixty-eight".