2688196 has 48 divisors (see below), whose sum is σ = 5877760. Its totient is φ = 1049760.

The previous prime is 2688187. The next prime is 2688221. The reversal of 2688196 is 6918862.

2688196 = 191² + 192² + ... + 246².

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16411 + ... + 16573.

2^2688196 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 2688196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938880).

2688196 is an abundant number, since it is smaller than the sum of its proper divisors (3189564).

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

2688196 is a wasteful number, since it uses less digits than its factorization.

2688196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 222 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 2688196 is about 1639.5718953434. The cubic root of 2688196 is about 139.0444451837.

It can be divided in two parts, 268 and 8196, that added together give a square (8464 = 92²).

The spelling of 2688196 in words is "two million, six hundred eighty-eight thousand, one hundred ninety-six".