163328000 has 208 divisors, whose sum is σ = 460006560. Its totient is φ = 57344000.

The previous prime is 163327979. The next prime is 163328003. The reversal of 163328000 is 823361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163328003) 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, 5631986 + ... + 5632014.

It is an arithmetic number, because the mean of its divisors is an integer number (2211570).

Almost surely, 2^163328000 is an apocalyptic number.

163328000 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 163328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230003280).

163328000 is an abundant number, since it is smaller than the sum of its proper divisors (296678560).

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

163328000 is an equidigital number, since it uses as much as digits as its factorization.

163328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 163328000 is about 12779.9843505381. The cubic root of 163328000 is about 546.6217161797.

The spelling of 163328000 in words is "one hundred sixty-three million, three hundred twenty-eight thousand".