2768672 has 24 divisors (see below), whose sum is σ = 5628672. Its totient is φ = 1339200.

The previous prime is 2768663. The next prime is 2768677.

2768672 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2768677) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 404 + ... + 2387.

It is an arithmetic number, because the mean of its divisors is an integer number (234528).

2^2768672 is an apocalyptic number.

It is an amenable number.

2768672 is an abundant number, since it is smaller than the sum of its proper divisors (2860000).

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

2768672 is a wasteful number, since it uses less digits than its factorization.

2768672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2824 counting only the distinct ones).

The product of its digits is 56448, while the sum is 38.

The square root of 2768672 is about 1663.9326909464. The cubic root of 2768672 is about 140.4183405288.

The spelling of 2768672 in words is "two million, seven hundred sixty-eight thousand, six hundred seventy-two".