163848672 has 144 divisors (see below), whose sum is σ = 507714480. Its totient is φ = 49821696.

The previous prime is 163848653. The next prime is 163848679. The reversal of 163848672 is 276848361.

163848672 is a `hidden beast` number, since 1 + 638 + 4 + 8 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163848679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400404 + ... + 400812.

It is an arithmetic number, because the mean of its divisors is an integer number (3525795).

Almost surely, 2^163848672 is an apocalyptic number.

163848672 is a gapful number since it is divisible by the number (12) 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 163848672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253857240).

163848672 is an abundant number, since it is smaller than the sum of its proper divisors (343865808).

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

163848672 is a wasteful number, since it uses less digits than its factorization.

163848672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 534 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 163848672 is about 12800.3387455176. The cubic root of 163848672 is about 547.2019570054.

The spelling of 163848672 in words is "one hundred sixty-three million, eight hundred forty-eight thousand, six hundred seventy-two".