8601984 has 128 divisors (see below), whose sum is σ = 26928000. Its totient is φ = 2695680.

The previous prime is 8601979. The next prime is 8601991. The reversal of 8601984 is 4891068.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 65599 + ... + 65729.

It is an arithmetic number, because the mean of its divisors is an integer number (210375).

Almost surely, 2^8601984 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 8601984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13464000).

8601984 is an abundant number, since it is smaller than the sum of its proper divisors (18326016).

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

8601984 is a wasteful number, since it uses less digits than its factorization.

8601984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8601984 is about 2932.9139094082. The cubic root of 8601984 is about 204.8957153506.

The spelling of 8601984 in words is "eight million, six hundred one thousand, nine hundred eighty-four".