163368000 has 168 divisors, whose sum is σ = 584652120. Its totient is φ = 43545600.

The previous prime is 163367999. The next prime is 163368013. The reversal of 163368000 is 863361.

163368000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37748736 + 125619264 = 6144^2 + 11208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70866 + ... + 73134.

Almost surely, 2^163368000 is an apocalyptic number.

163368000 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 163368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292326060).

163368000 is an abundant number, since it is smaller than the sum of its proper divisors (421284120).

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

163368000 is a wasteful number, since it uses less digits than its factorization.

163368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 163368000 is about 12781.5492018769. The cubic root of 163368000 is about 546.6663361754. Note that the first 3 decimals are identical.

It can be divided in two parts, 16336 and 8000, that added together give a square (24336 = 156²).

The spelling of 163368000 in words is "one hundred sixty-three million, three hundred sixty-eight thousand".