2627672 has 16 divisors (see below), whose sum is σ = 4944240. Its totient is φ = 1309216.

The previous prime is 2627671. The next prime is 2627689. The reversal of 2627672 is 2767262.

It is a d-powerful number, because it can be written as 2⁷ + 6 + 2¹⁹ + 7⁴ + 6⁴ + 7⁴ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2627671) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3698 + ... + 4350.

It is an arithmetic number, because the mean of its divisors is an integer number (309015).

2^2627672 is an apocalyptic number.

It is an amenable number.

2627672 is a deficient number, since it is larger than the sum of its proper divisors (2316568).

2627672 is a wasteful number, since it uses less digits than its factorization.

2627672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1158 counting only the distinct ones).

The product of its digits is 14112, while the sum is 32.

The square root of 2627672 is about 1621.0095619706. The cubic root of 2627672 is about 137.9929983145.

The spelling of 2627672 in words is "two million, six hundred twenty-seven thousand, six hundred seventy-two".