99864144 has 80 divisors (see below), whose sum is σ = 295933440. Its totient is φ = 32209920.

The previous prime is 99864109. The next prime is 99864157. The reversal of 99864144 is 44146899.

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

It is a self number, because there is not a number n which added to its sum of digits gives 99864144.

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, 9664 + ... + 17120.

It is an arithmetic number, because the mean of its divisors is an integer number (3699168).

Almost surely, 2^99864144 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 99864144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147966720).

99864144 is an abundant number, since it is smaller than the sum of its proper divisors (196069296).

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

99864144 is a wasteful number, since it uses less digits than its factorization.

99864144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7505 (or 7493 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 99864144 is about 9993.2048913249. The cubic root of 99864144 is about 463.9485922039.

The spelling of 99864144 in words is "ninety-nine million, eight hundred sixty-four thousand, one hundred forty-four".