99824 has 20 divisors (see below), whose sum is σ = 205344. Its totient is φ = 46848.

The previous prime is 99823. The next prime is 99829. The reversal of 99824 is 42899.

99824 = T₅₉ + T₆₀ + ... + T₉₂.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89 + ... + 455.

2⁹⁹⁸²⁴ 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 99824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102672).

99824 is an abundant number, since it is smaller than the sum of its proper divisors (105520).

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

99824 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 99824 = (49928)₁₂.

99824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 99824 is about 315.9493630315. The cubic root of 99824 is about 46.3886416907.

Adding to 99824 its sum of digits (32), we get a square (99856 = 316²).

The spelling of 99824 in words is "ninety-nine thousand, eight hundred twenty-four".