99648 has 42 divisors (see below), whose sum is σ = 287274. Its totient is φ = 33024.

The previous prime is 99643. The next prime is 99661. The reversal of 99648 is 84699.

99648 is a `hidden beast` number, since 9 + 9 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97344 + 2304 = 312^2 + 48^2 .

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 490 + ... + 662.

2⁹⁹⁶⁴⁸ 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 99648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143637).

99648 is an abundant number, since it is smaller than the sum of its proper divisors (187626).

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

99648 is a wasteful number, since it uses less digits than its factorization.

99648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

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

The square root of 99648 is about 315.6707145112. The cubic root of 99648 is about 46.3613630006.

It can be divided in two parts, 99 and 648, that added together give a palindrome (747).

The spelling of 99648 in words is "ninety-nine thousand, six hundred forty-eight".