8686944 has 144 divisors (see below), whose sum is σ = 29352960. Its totient is φ = 2384640.

The previous prime is 8686901. The next prime is 8686961. The reversal of 8686944 is 4496868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 8686944.

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, 62427 + ... + 62565.

It is an arithmetic number, because the mean of its divisors is an integer number (203840).

Almost surely, 2^8686944 is an apocalyptic number.

8686944 is a gapful number since it is divisible by the number (84) 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 8686944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676480).

8686944 is an abundant number, since it is smaller than the sum of its proper divisors (20666016).

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

8686944 is a wasteful number, since it uses less digits than its factorization.

8686944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 8686944 is about 2947.3622105198. The cubic root of 8686944 is about 205.5680773261.

The spelling of 8686944 in words is "eight million, six hundred eighty-six thousand, nine hundred forty-four".