99846 has 24 divisors (see below), whose sum is σ = 227160. Its totient is φ = 32508.

The previous prime is 99839. The next prime is 99859. The reversal of 99846 is 64899.

It is a super-3 number, since 3×99846³ = 2986161333443208, which contains 333 as substring.

Its product of digits (15552) is a multiple of the sum of its prime divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 99846.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2301 + ... + 2343.

It is an arithmetic number, because the mean of its divisors is an integer number (9465).

2⁹⁹⁸⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113580).

99846 is an abundant number, since it is smaller than the sum of its proper divisors (127314).

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

99846 is a wasteful number, since it uses less digits than its factorization.

99846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

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

The square root of 99846 is about 315.9841768190. The cubic root of 99846 is about 46.3920492719.

The spelling of 99846 in words is "ninety-nine thousand, eight hundred forty-six".