99864 has 48 divisors (see below), whose sum is σ = 288600. Its totient is φ = 31104.

The previous prime is 99859. The next prime is 99871. The reversal of 99864 is 46899.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

99864 is an undulating number in base 8.

It is a nialpdrome in base 10.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99864.

It is an unprimeable number.

99864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1332 + ... + 1404.

2⁹⁹⁸⁶⁴ 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 99864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144300).

99864 is an abundant number, since it is smaller than the sum of its proper divisors (188736).

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

99864 is a wasteful number, since it uses less digits than its factorization.

99864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 97 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 99864 is about 316.0126579743. The cubic root of 99864 is about 46.3948369206.

The spelling of 99864 in words is "ninety-nine thousand, eight hundred sixty-four".