2632768 has 28 divisors (see below), whose sum is σ = 5396992. Its totient is φ = 1272960.

The previous prime is 2632759. The next prime is 2632781. The reversal of 2632768 is 8672362.

It is a d-powerful number, because it can be written as 2²⁰ + 6² + 3¹² + 2²⁰ + 7 + 6² + 8⁴ .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1321 + ... + 2647.

2^2632768 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 2632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698496).

2632768 is an abundant number, since it is smaller than the sum of its proper divisors (2764224).

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

2632768 is a wasteful number, since it uses less digits than its factorization.

2632768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1360 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 2632768 is about 1622.5806605528. The cubic root of 2632768 is about 138.0821467083.

The spelling of 2632768 in words is "two million, six hundred thirty-two thousand, seven hundred sixty-eight".