8653840 has 80 divisors (see below), whose sum is σ = 22217328. Its totient is φ = 3115008.

The previous prime is 8653817. The next prime is 8653847. The reversal of 8653840 is 483568.

It can be written as a sum of positive squares in 8 ways, for example, as 565504 + 8088336 = 752^2 + 2844^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 8653796 and 8653805.

It is not an unprimeable number, because it can be changed into a prime (8653847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55042 + ... + 55198.

Almost surely, 2^8653840 is an apocalyptic number.

8653840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8653840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11108664).

8653840 is an abundant number, since it is smaller than the sum of its proper divisors (13563488).

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

8653840 is a wasteful number, since it uses less digits than its factorization.

8653840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 8653840 is about 2941.7409811199. The cubic root of 8653840 is about 205.3066202763.

The spelling of 8653840 in words is "eight million, six hundred fifty-three thousand, eight hundred forty".