2587672 has 32 divisors (see below), whose sum is σ = 5248800. Its totient is φ = 1191424.

The previous prime is 2587649. The next prime is 2587693. The reversal of 2587672 is 2767852.

2587672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7029 + ... + 7387.

It is an arithmetic number, because the mean of its divisors is an integer number (164025).

2^2587672 is an apocalyptic number.

It is an amenable number.

2587672 is an abundant number, since it is smaller than the sum of its proper divisors (2661128).

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

2587672 is a wasteful number, since it uses less digits than its factorization.

2587672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 2587672 is about 1608.6242569351. The cubic root of 2587672 is about 137.2892109073.

The spelling of 2587672 in words is "two million, five hundred eighty-seven thousand, six hundred seventy-two".