2688816 has 80 divisors (see below), whose sum is σ = 7777280. Its totient is φ = 794880.

The previous prime is 2688811. The next prime is 2688817. The reversal of 2688816 is 6188862.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 (2688811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19275 + ... + 19413.

It is an arithmetic number, because the mean of its divisors is an integer number (97216).

2^2688816 is an apocalyptic number.

2688816 is a gapful number since it is divisible by the number (26) 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 2688816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888640).

2688816 is an abundant number, since it is smaller than the sum of its proper divisors (5088464).

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

2688816 is a wasteful number, since it uses less digits than its factorization.

2688816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 2688816 is about 1639.7609581887. The cubic root of 2688816 is about 139.0551340036.

The spelling of 2688816 in words is "two million, six hundred eighty-eight thousand, eight hundred sixteen".