163801120 has 144 divisors (see below), whose sum is σ = 477028440. Its totient is φ = 52813824.

The previous prime is 163801091. The next prime is 163801129. The reversal of 163801120 is 21108361.

It can be written as a sum of positive squares in 4 ways, for example, as 163737616 + 63504 = 12796^2 + 252^2 .

It is a junction number, because it is equal to n+sod(n) for n = 163801091 and 163801100.

It is not an unprimeable number, because it can be changed into a prime (163801129) 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, 132666 + ... + 133894.

Almost surely, 2^163801120 is an apocalyptic number.

163801120 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 163801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238514220).

163801120 is an abundant number, since it is smaller than the sum of its proper divisors (313227320).

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

163801120 is a wasteful number, since it uses less digits than its factorization.

163801120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 163801120 is about 12798.4811598877. The cubic root of 163801120 is about 547.1490157461.

Adding to 163801120 its reverse (21108361), we get a palindrome (184909481).

The spelling of 163801120 in words is "one hundred sixty-three million, eight hundred one thousand, one hundred twenty".