8648641 has 8 divisors (see below), whose sum is σ = 9095400. Its totient is φ = 8211840.

The previous prime is 8648557. The next prime is 8648677. The reversal of 8648641 is 1468468.

8648641 = 2079² + 2080².

It can be written as a sum of positive squares in 4 ways, for example, as 360000 + 8288641 = 600^2 + 2879^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8648641 - 2⁷ = 8648513 is a prime.

It is a super-2 number, since 2×8648641² = 149597982293762, which contains 22 as substring.

It is a Duffinian number.

8648641 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8648641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8648741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 676 + ... + 4213.

It is an arithmetic number, because the mean of its divisors is an integer number (1136925).

Almost surely, 2^8648641 is an apocalyptic number.

8648641 is the 2080-th centered square number.

It is an amenable number.

8648641 is a deficient number, since it is larger than the sum of its proper divisors (446759).

8648641 is a wasteful number, since it uses less digits than its factorization.

8648641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979.

The product of its digits is 36864, while the sum is 37.

The square root of 8648641 is about 2940.8571879641. The cubic root of 8648641 is about 205.2654977633.

The spelling of 8648641 in words is "eight million, six hundred forty-eight thousand, six hundred forty-one".