8643960 has 96 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 2126592.

The previous prime is 8643959. The next prime is 8643991. The reversal of 8643960 is 693468.

8643960 is a `hidden beast` number, since 8 + 643 + 9 + 6 + 0 = 666.

8643960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×8643960³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3757 + ... + 5603.

It is an arithmetic number, because the mean of its divisors is an integer number (315315).

Almost surely, 2^8643960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8643960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

8643960 is an abundant number, since it is smaller than the sum of its proper divisors (21626280).

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

8643960 is a wasteful number, since it uses less digits than its factorization.

8643960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 8643960 is about 2940.0612238523. The cubic root of 8643960 is about 205.2284583719.

The spelling of 8643960 in words is "eight million, six hundred forty-three thousand, nine hundred sixty".