163948800 has 108 divisors (see below), whose sum is σ = 541128560. Its totient is φ = 43714560.

The previous prime is 163948783. The next prime is 163948849. The reversal of 163948800 is 8849361.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14931 + ... + 23469.

Almost surely, 2^163948800 is an apocalyptic number.

163948800 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 163948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270564280).

163948800 is an abundant number, since it is smaller than the sum of its proper divisors (377179760).

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

163948800 is an equidigital number, since it uses as much as digits as its factorization.

163948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8568 (or 8549 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 163948800 is about 12804.2492946678. The cubic root of 163948800 is about 547.3133994315.

The spelling of 163948800 in words is "one hundred sixty-three million, nine hundred forty-eight thousand, eight hundred".