168048000 has 256 divisors, whose sum is σ = 620568000. Its totient is φ = 44697600.

The previous prime is 168047981. The next prime is 168048007. The reversal of 168048000 is 840861.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168048007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431806 + ... + 432194.

Almost surely, 2^168048000 is an apocalyptic number.

168048000 is a gapful number since it is divisible by the number (10) 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 168048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310284000).

168048000 is an abundant number, since it is smaller than the sum of its proper divisors (452520000).

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

168048000 is an equidigital number, since it uses as much as digits as its factorization.

168048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 168048000 is about 12963.3329047741. The cubic root of 168048000 is about 551.8373812089.

Adding to 168048000 its reverse (840861), we get a palindrome (168888861).

The spelling of 168048000 in words is "one hundred sixty-eight million, forty-eight thousand".