168848000 has 128 divisors (see below), whose sum is σ = 429146640. Its totient is φ = 66048000.

The previous prime is 168847999. The next prime is 168848021. The reversal of 168848000 is 848861.

It can be written as a sum of positive squares in 8 ways, for example, as 2334784 + 166513216 = 1528^2 + 12904^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975914 + ... + 976086.

Almost surely, 2^168848000 is an apocalyptic number.

168848000 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 168848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214573320).

168848000 is an abundant number, since it is smaller than the sum of its proper divisors (260298640).

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

168848000 is an equidigital number, since it uses as much as digits as its factorization.

168848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 168848000 is about 12994.1525310426. The cubic root of 168848000 is about 552.7116774539.

The spelling of 168848000 in words is "one hundred sixty-eight million, eight hundred forty-eight thousand".