163633120 has 96 divisors (see below), whose sum is σ = 444685248. Its totient is φ = 55738368.

The previous prime is 163633117. The next prime is 163633133. The reversal of 163633120 is 21336361.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 215782 + ... + 216538.

It is an arithmetic number, because the mean of its divisors is an integer number (4632138).

Almost surely, 2^163633120 is an apocalyptic number.

163633120 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 163633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222342624).

163633120 is an abundant number, since it is smaller than the sum of its proper divisors (281052128).

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

163633120 is a wasteful number, since it uses less digits than its factorization.

163633120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 163633120 is about 12791.9161973490. The cubic root of 163633120 is about 546.9618935450.

Subtracting from 163633120 its sum of digits (25), we obtain a triangular number (163633095 = T₁₈₀₉₀).

Adding to 163633120 its reverse (21336361), we get a palindrome (184969481).

The spelling of 163633120 in words is "one hundred sixty-three million, six hundred thirty-three thousand, one hundred twenty".