168493248 has 336 divisors, whose sum is σ = 627644160. Its totient is φ = 41932800.

The previous prime is 168493217. The next prime is 168493249. The reversal of 168493248 is 842394861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (168493249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1286143 + ... + 1286273.

Almost surely, 2^168493248 is an apocalyptic number.

168493248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168493248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313822080).

168493248 is an abundant number, since it is smaller than the sum of its proper divisors (459150912).

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

168493248 is a wasteful number, since it uses less digits than its factorization.

168493248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 168493248 is about 12980.4949058193. The cubic root of 168493248 is about 552.3243210689.

The spelling of 168493248 in words is "one hundred sixty-eight million, four hundred ninety-three thousand, two hundred forty-eight".