9864288 has 144 divisors (see below), whose sum is σ = 33611760. Its totient is φ = 2806272.

The previous prime is 9864277. The next prime is 9864331. The reversal of 9864288 is 8824689.

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 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, 42220 + ... + 42452.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 2^9864288 is an apocalyptic number.

9864288 is a gapful number since it is divisible by the number (98) 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 9864288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805880).

9864288 is an abundant number, since it is smaller than the sum of its proper divisors (23747472).

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

9864288 is a wasteful number, since it uses less digits than its factorization.

9864288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 245 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 9864288 is about 3140.7464081011. The cubic root of 9864288 is about 214.4644177860.

The spelling of 9864288 in words is "nine million, eight hundred sixty-four thousand, two hundred eighty-eight".