2688672 has 48 divisors (see below), whose sum is σ = 8068032. Its totient is φ = 768000.

The previous prime is 2688667. The next prime is 2688701. The reversal of 2688672 is 2768862.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2688672.

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 7 ways as a sum of consecutive naturals, for example, 1329 + ... + 2672.

It is an arithmetic number, because the mean of its divisors is an integer number (168084).

2^2688672 is an apocalyptic number.

It is an amenable number.

2688672 is an abundant number, since it is smaller than the sum of its proper divisors (5379360).

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

2688672 is a wasteful number, since it uses less digits than its factorization.

2688672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021 (or 4013 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 2688672 is about 1639.7170487618. The cubic root of 2688672 is about 139.0526515855.

It can be divided in two parts, 2688 and 672, that multiplied together give a square (1806336 = 1344²).

The spelling of 2688672 in words is "two million, six hundred eighty-eight thousand, six hundred seventy-two".