2636768 has 48 divisors (see below), whose sum is σ = 5688144. Its totient is φ = 1198080.

The previous prime is 2636759. The next prime is 2636773. The reversal of 2636768 is 8676362.

It is a d-powerful number, because it can be written as 2⁷ + 6 + 3¹² + 6³ + 7² + 6⁵ + 8⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20063 + ... + 20193.

It is an arithmetic number, because the mean of its divisors is an integer number (118503).

2^2636768 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 2636768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844072).

2636768 is an abundant number, since it is smaller than the sum of its proper divisors (3051376).

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

2636768 is a wasteful number, since it uses less digits than its factorization.

2636768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 2636768 is about 1623.8127970921. The cubic root of 2636768 is about 138.1520413468.

The spelling of 2636768 in words is "two million, six hundred thirty-six thousand, seven hundred sixty-eight".