8868384 has 144 divisors (see below), whose sum is σ = 29719872. Its totient is φ = 2456064.

The previous prime is 8868367. The next prime is 8868389. The reversal of 8868384 is 4838688.

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 a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (8868389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106807 + ... + 106889.

It is an arithmetic number, because the mean of its divisors is an integer number (206388).

Almost surely, 2^8868384 is an apocalyptic number.

8868384 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 8868384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859936).

8868384 is an abundant number, since it is smaller than the sum of its proper divisors (20851488).

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

8868384 is a wasteful number, since it uses less digits than its factorization.

8868384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 8868384 is about 2977.9832101609. The cubic root of 8868384 is about 206.9894274513.

The spelling of 8868384 in words is "eight million, eight hundred sixty-eight thousand, three hundred eighty-four".