163929120 has 96 divisors (see below), whose sum is σ = 518156352. Its totient is φ = 43564032.

The previous prime is 163929109. The next prime is 163929149. The reversal of 163929120 is 21929361.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250714 + ... + 251366.

It is an arithmetic number, because the mean of its divisors is an integer number (5397462).

Almost surely, 2^163929120 is an apocalyptic number.

163929120 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 163929120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259078176).

163929120 is an abundant number, since it is smaller than the sum of its proper divisors (354227232).

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

163929120 is a wasteful number, since it uses less digits than its factorization.

163929120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 163929120 is about 12803.4807767263. The cubic root of 163929120 is about 547.2914991823.

The spelling of 163929120 in words is "one hundred sixty-three million, nine hundred twenty-nine thousand, one hundred twenty".