163964800 has 48 divisors (see below), whose sum is σ = 405052200. Its totient is φ = 65584640.

The previous prime is 163964791. The next prime is 163964803. The reversal of 163964800 is 8469361.

It is a self number, because there is not a number n which added to its sum of digits gives 163964800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163964803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22420 + ... + 28819.

Almost surely, 2^163964800 is an apocalyptic number.

163964800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163964800 is an abundant number, since it is smaller than the sum of its proper divisors (241087400).

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

163964800 is an equidigital number, since it uses as much as digits as its factorization.

163964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51263 (or 51246 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 163964800 is about 12804.8740720087. The cubic root of 163964800 is about 547.3312032205.

The spelling of 163964800 in words is "one hundred sixty-three million, nine hundred sixty-four thousand, eight hundred".