168448000 has 208 divisors, whose sum is σ = 490673664. Its totient is φ = 56524800.

The previous prime is 168447973. The next prime is 168448003. The reversal of 168448000 is 844861.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168448003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3583977 + ... + 3584023.

It is an arithmetic number, because the mean of its divisors is an integer number (2359008).

Almost surely, 2^168448000 is an apocalyptic number.

168448000 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 168448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245336832).

168448000 is an abundant number, since it is smaller than the sum of its proper divisors (322225664).

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

168448000 is an frugal number, since it uses more digits than its factorization.

168448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 168448000 is about 12978.7518660309. The cubic root of 168448000 is about 552.2748753520.

The spelling of 168448000 in words is "one hundred sixty-eight million, four hundred forty-eight thousand".