163771120 has 80 divisors (see below), whose sum is σ = 399706560. Its totient is φ = 62318592.

The previous prime is 163771117. The next prime is 163771129. The reversal of 163771120 is 21177361.

163771120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163771129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168877 + ... + 169843.

It is an arithmetic number, because the mean of its divisors is an integer number (4996332).

Almost surely, 2^163771120 is an apocalyptic number.

163771120 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 163771120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199853280).

163771120 is an abundant number, since it is smaller than the sum of its proper divisors (235935440).

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

163771120 is a wasteful number, since it uses less digits than its factorization.

163771120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 163771120 is about 12797.3090921490. The cubic root of 163771120 is about 547.1156104542.

The spelling of 163771120 in words is "one hundred sixty-three million, seven hundred seventy-one thousand, one hundred twenty".