8587641 has 16 divisors (see below), whose sum is σ = 11749248. Its totient is φ = 5577600.

The previous prime is 8587633. The next prime is 8587687. The reversal of 8587641 is 1467858.

It is not a de Polignac number, because 8587641 - 2³ = 8587633 is a prime.

Its product of digits (53760) is a multiple of the sum of its prime divisors (512).

8587641 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8587641.

It is not an unprimeable number, because it can be changed into a prime (8587541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30421 + ... + 30701.

It is an arithmetic number, because the mean of its divisors is an integer number (734328).

Almost surely, 2^8587641 is an apocalyptic number.

It is an amenable number.

8587641 is a deficient number, since it is larger than the sum of its proper divisors (3161607).

8587641 is a wasteful number, since it uses less digits than its factorization.

8587641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512.

The product of its digits is 53760, while the sum is 39.

The square root of 8587641 is about 2930.4677101105. The cubic root of 8587641 is about 204.7817705459.

The spelling of 8587641 in words is "eight million, five hundred eighty-seven thousand, six hundred forty-one".